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Finding the Fourth Proportional to 708.85, 1,064.28 and 434.11

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Solution

The fourth proportional to 708.85, 1,064.28 and 434.11 is: 651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.85 : 1,064.28 = 434.11 : x
  2. Step 2: Convert to fraction form
    708.85/1,064.28 = 434.11/x
  3. Step 3: Cross multiply
    708.85x = 1,064.28 × 434.11
  4. Step 4: Simplify right side
    708.85x = 462,009.27
  5. Step 5: Solve for x
    x = 462,009.27/708.85
  6. Step 6: Final answer
    x = 651.78

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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.