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Finding the Fourth Proportional to 1,124.75, 1,549.62 and 829.51

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Solution

The fourth proportional to 1,124.75, 1,549.62 and 829.51 is: 1,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.75 : 1,549.62 = 829.51 : x
  2. Step 2: Convert to fraction form
    1,124.75/1,549.62 = 829.51/x
  3. Step 3: Cross multiply
    1,124.75x = 1,549.62 × 829.51
  4. Step 4: Simplify right side
    1,124.75x = 1,285,421.41
  5. Step 5: Solve for x
    x = 1,285,421.41/1,124.75
  6. Step 6: Final answer
    x = 1,142.85

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Half scale
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Double scale
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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.