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Finding the Fourth Proportional to 935.71, 1,291.71 and 542.66

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Solution

The fourth proportional to 935.71, 1,291.71 and 542.66 is: 749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.71 : 1,291.71 = 542.66 : x
  2. Step 2: Convert to fraction form
    935.71/1,291.71 = 542.66/x
  3. Step 3: Cross multiply
    935.71x = 1,291.71 × 542.66
  4. Step 4: Simplify right side
    935.71x = 700,954.93
  5. Step 5: Solve for x
    x = 700,954.93/935.71
  6. Step 6: Final answer
    x = 749.12

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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.