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Finding the Fourth Proportional to 708.87, 1,062.89 and 215.13

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Solution

The fourth proportional to 708.87, 1,062.89 and 215.13 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.87 : 1,062.89 = 215.13 : x
  2. Step 2: Convert to fraction form
    708.87/1,062.89 = 215.13/x
  3. Step 3: Cross multiply
    708.87x = 1,062.89 × 215.13
  4. Step 4: Simplify right side
    708.87x = 228,658.45
  5. Step 5: Solve for x
    x = 228,658.45/708.87
  6. Step 6: Final answer
    x = 322.57

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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.