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Finding the Fourth Proportional to 709.49, 1,062.18 and 434.75

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Solution

The fourth proportional to 709.49, 1,062.18 and 434.75 is: 650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.49 : 1,062.18 = 434.75 : x
  2. Step 2: Convert to fraction form
    709.49/1,062.18 = 434.75/x
  3. Step 3: Cross multiply
    709.49x = 1,062.18 × 434.75
  4. Step 4: Simplify right side
    709.49x = 461,782.76
  5. Step 5: Solve for x
    x = 461,782.76/709.49
  6. Step 6: Final answer
    x = 650.87

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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.