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Finding the Fourth Proportional to 935.76, 1,291.36 and 542.90

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Solution

The fourth proportional to 935.76, 1,291.36 and 542.90 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.76 : 1,291.36 = 542.90 : x
  2. Step 2: Convert to fraction form
    935.76/1,291.36 = 542.90/x
  3. Step 3: Cross multiply
    935.76x = 1,291.36 × 542.90
  4. Step 4: Simplify right side
    935.76x = 701,079.34
  5. Step 5: Solve for x
    x = 701,079.34/935.76
  6. Step 6: Final answer
    x = 749.21

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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.