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Finding the Fourth Proportional to 747.90, 1,032.55 and 664.77

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Solution

The fourth proportional to 747.90, 1,032.55 and 664.77 is: 917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.90 : 1,032.55 = 664.77 : x
  2. Step 2: Convert to fraction form
    747.90/1,032.55 = 664.77/x
  3. Step 3: Cross multiply
    747.90x = 1,032.55 × 664.77
  4. Step 4: Simplify right side
    747.90x = 686,403.02
  5. Step 5: Solve for x
    x = 686,403.02/747.90
  6. Step 6: Final answer
    x = 917.77

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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.