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Finding the Fourth Proportional to 1,148.32, 1,584.68 and 676.12

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Solution

The fourth proportional to 1,148.32, 1,584.68 and 676.12 is: 933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.32 : 1,584.68 = 676.12 : x
  2. Step 2: Convert to fraction form
    1,148.32/1,584.68 = 676.12/x
  3. Step 3: Cross multiply
    1,148.32x = 1,584.68 × 676.12
  4. Step 4: Simplify right side
    1,148.32x = 1,071,433.84
  5. Step 5: Solve for x
    x = 1,071,433.84/1,148.32
  6. Step 6: Final answer
    x = 933.04

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Half scale
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Double scale
Find fourth proportional to 1,149.32, 1,586.06 and 677.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.