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Finding the Fourth Proportional to 935.90, 1,291.39 and 557.74

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Solution

The fourth proportional to 935.90, 1,291.39 and 557.74 is: 769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.90 : 1,291.39 = 557.74 : x
  2. Step 2: Convert to fraction form
    935.90/1,291.39 = 557.74/x
  3. Step 3: Cross multiply
    935.90x = 1,291.39 × 557.74
  4. Step 4: Simplify right side
    935.90x = 720,255.95
  5. Step 5: Solve for x
    x = 720,255.95/935.90
  6. Step 6: Final answer
    x = 769.58

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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.