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Finding the Fourth Proportional to 932.50, 1,396.59 and 736.12

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Solution

The fourth proportional to 932.50, 1,396.59 and 736.12 is: 1,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.50 : 1,396.59 = 736.12 : x
  2. Step 2: Convert to fraction form
    932.50/1,396.59 = 736.12/x
  3. Step 3: Cross multiply
    932.50x = 1,396.59 × 736.12
  4. Step 4: Simplify right side
    932.50x = 1,028,057.83
  5. Step 5: Solve for x
    x = 1,028,057.83/932.50
  6. Step 6: Final answer
    x = 1,102.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.