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Finding the Fourth Proportional to 932.72, 1,285.08 and 757.76

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Solution

The fourth proportional to 932.72, 1,285.08 and 757.76 is: 1,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.72 : 1,285.08 = 757.76 : x
  2. Step 2: Convert to fraction form
    932.72/1,285.08 = 757.76/x
  3. Step 3: Cross multiply
    932.72x = 1,285.08 × 757.76
  4. Step 4: Simplify right side
    932.72x = 973,782.22
  5. Step 5: Solve for x
    x = 973,782.22/932.72
  6. Step 6: Final answer
    x = 1,044.02

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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.