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Finding the Fourth Proportional to 709.52, 1,062.65 and 420.35

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Solution

The fourth proportional to 709.52, 1,062.65 and 420.35 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.52 : 1,062.65 = 420.35 : x
  2. Step 2: Convert to fraction form
    709.52/1,062.65 = 420.35/x
  3. Step 3: Cross multiply
    709.52x = 1,062.65 × 420.35
  4. Step 4: Simplify right side
    709.52x = 446,679.61
  5. Step 5: Solve for x
    x = 446,679.61/709.52
  6. Step 6: Final answer
    x = 629.56

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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.