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Finding the Fourth Proportional to 931.76, 1,285.88 and 533.52

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Solution

The fourth proportional to 931.76, 1,285.88 and 533.52 is: 736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.76 : 1,285.88 = 533.52 : x
  2. Step 2: Convert to fraction form
    931.76/1,285.88 = 533.52/x
  3. Step 3: Cross multiply
    931.76x = 1,285.88 × 533.52
  4. Step 4: Simplify right side
    931.76x = 686,042.70
  5. Step 5: Solve for x
    x = 686,042.70/931.76
  6. Step 6: Final answer
    x = 736.29

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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.