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Finding the Fourth Proportional to 764.01, 1,053.41 and 542.79

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Solution

The fourth proportional to 764.01, 1,053.41 and 542.79 is: 748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.01 : 1,053.41 = 542.79 : x
  2. Step 2: Convert to fraction form
    764.01/1,053.41 = 542.79/x
  3. Step 3: Cross multiply
    764.01x = 1,053.41 × 542.79
  4. Step 4: Simplify right side
    764.01x = 571,777.70
  5. Step 5: Solve for x
    x = 571,777.70/764.01
  6. Step 6: Final answer
    x = 748.39

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Double scale
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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.