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Finding the Fourth Proportional to 708.50, 977.29 and 487.07

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Solution

The fourth proportional to 708.50, 977.29 and 487.07 is: 671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.50 : 977.29 = 487.07 : x
  2. Step 2: Convert to fraction form
    708.50/977.29 = 487.07/x
  3. Step 3: Cross multiply
    708.50x = 977.29 × 487.07
  4. Step 4: Simplify right side
    708.50x = 476,006.20
  5. Step 5: Solve for x
    x = 476,006.20/708.50
  6. Step 6: Final answer
    x = 671.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.