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Finding the Fourth Proportional to 709.72, 1,064.50 and 420.52

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Solution

The fourth proportional to 709.72, 1,064.50 and 420.52 is: 630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.72 : 1,064.50 = 420.52 : x
  2. Step 2: Convert to fraction form
    709.72/1,064.50 = 420.52/x
  3. Step 3: Cross multiply
    709.72x = 1,064.50 × 420.52
  4. Step 4: Simplify right side
    709.72x = 447,643.54
  5. Step 5: Solve for x
    x = 447,643.54/709.72
  6. Step 6: Final answer
    x = 630.73

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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.