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Finding the Fourth Proportional to 715.92, 987.59 and 506.10

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Solution

The fourth proportional to 715.92, 987.59 and 506.10 is: 698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.92 : 987.59 = 506.10 : x
  2. Step 2: Convert to fraction form
    715.92/987.59 = 506.10/x
  3. Step 3: Cross multiply
    715.92x = 987.59 × 506.10
  4. Step 4: Simplify right side
    715.92x = 499,816.77
  5. Step 5: Solve for x
    x = 499,816.77/715.92
  6. Step 6: Final answer
    x = 698.15

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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.