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Finding the Fourth Proportional to 715.92, 987.95 and 417.23

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Solution

The fourth proportional to 715.92, 987.95 and 417.23 is: 575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.92 : 987.95 = 417.23 : x
  2. Step 2: Convert to fraction form
    715.92/987.95 = 417.23/x
  3. Step 3: Cross multiply
    715.92x = 987.95 × 417.23
  4. Step 4: Simplify right side
    715.92x = 412,206.96
  5. Step 5: Solve for x
    x = 412,206.96/715.92
  6. Step 6: Final answer
    x = 575.77

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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.