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Finding the Fourth Proportional to 1,192.47, 1,646.18 and 750.61

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Solution

The fourth proportional to 1,192.47, 1,646.18 and 750.61 is: 1,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.47 : 1,646.18 = 750.61 : x
  2. Step 2: Convert to fraction form
    1,192.47/1,646.18 = 750.61/x
  3. Step 3: Cross multiply
    1,192.47x = 1,646.18 × 750.61
  4. Step 4: Simplify right side
    1,192.47x = 1,235,639.17
  5. Step 5: Solve for x
    x = 1,235,639.17/1,192.47
  6. Step 6: Final answer
    x = 1,036.20

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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.