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Finding the Fourth Proportional to 750.92, 1,036.28 and 414.83

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Solution

The fourth proportional to 750.92, 1,036.28 and 414.83 is: 572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.92 : 1,036.28 = 414.83 : x
  2. Step 2: Convert to fraction form
    750.92/1,036.28 = 414.83/x
  3. Step 3: Cross multiply
    750.92x = 1,036.28 × 414.83
  4. Step 4: Simplify right side
    750.92x = 429,877.96
  5. Step 5: Solve for x
    x = 429,877.96/750.92
  6. Step 6: Final answer
    x = 572.47

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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.