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Finding the Fourth Proportional to 711.68, 1,069.44 and 542.72

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Solution

The fourth proportional to 711.68, 1,069.44 and 542.72 is: 815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.68 : 1,069.44 = 542.72 : x
  2. Step 2: Convert to fraction form
    711.68/1,069.44 = 542.72/x
  3. Step 3: Cross multiply
    711.68x = 1,069.44 × 542.72
  4. Step 4: Simplify right side
    711.68x = 580,406.48
  5. Step 5: Solve for x
    x = 580,406.48/711.68
  6. Step 6: Final answer
    x = 815.54

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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.