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Finding the Fourth Proportional to 750.45, 1,123.85 and 458.09

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Solution

The fourth proportional to 750.45, 1,123.85 and 458.09 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.45 : 1,123.85 = 458.09 : x
  2. Step 2: Convert to fraction form
    750.45/1,123.85 = 458.09/x
  3. Step 3: Cross multiply
    750.45x = 1,123.85 × 458.09
  4. Step 4: Simplify right side
    750.45x = 514,824.45
  5. Step 5: Solve for x
    x = 514,824.45/750.45
  6. Step 6: Final answer
    x = 686.02

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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.