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Finding the Fourth Proportional to 742.23, 1,111.01 and 509.76

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Solution

The fourth proportional to 742.23, 1,111.01 and 509.76 is: 763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.23 : 1,111.01 = 509.76 : x
  2. Step 2: Convert to fraction form
    742.23/1,111.01 = 509.76/x
  3. Step 3: Cross multiply
    742.23x = 1,111.01 × 509.76
  4. Step 4: Simplify right side
    742.23x = 566,348.46
  5. Step 5: Solve for x
    x = 566,348.46/742.23
  6. Step 6: Final answer
    x = 763.04

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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.