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Finding the Fourth Proportional to 1,117.50, 1,676.25 and 386.88

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Solution

The fourth proportional to 1,117.50, 1,676.25 and 386.88 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.50 : 1,676.25 = 386.88 : x
  2. Step 2: Convert to fraction form
    1,117.50/1,676.25 = 386.88/x
  3. Step 3: Cross multiply
    1,117.50x = 1,676.25 × 386.88
  4. Step 4: Simplify right side
    1,117.50x = 648,507.60
  5. Step 5: Solve for x
    x = 648,507.60/1,117.50
  6. Step 6: Final answer
    x = 580.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.