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Finding the Fourth Proportional to 749.65, 1,124.47 and 542.29

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Solution

The fourth proportional to 749.65, 1,124.47 and 542.29 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.65 : 1,124.47 = 542.29 : x
  2. Step 2: Convert to fraction form
    749.65/1,124.47 = 542.29/x
  3. Step 3: Cross multiply
    749.65x = 1,124.47 × 542.29
  4. Step 4: Simplify right side
    749.65x = 609,788.84
  5. Step 5: Solve for x
    x = 609,788.84/749.65
  6. Step 6: Final answer
    x = 813.43

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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.