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Finding the Fourth Proportional to 935.53, 1,290.39 and 542.56

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Solution

The fourth proportional to 935.53, 1,290.39 and 542.56 is: 748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.53 : 1,290.39 = 542.56 : x
  2. Step 2: Convert to fraction form
    935.53/1,290.39 = 542.56/x
  3. Step 3: Cross multiply
    935.53x = 1,290.39 × 542.56
  4. Step 4: Simplify right side
    935.53x = 700,114.00
  5. Step 5: Solve for x
    x = 700,114.00/935.53
  6. Step 6: Final answer
    x = 748.36

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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.