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Finding the Fourth Proportional to 715.96, 987.80 and 417.20

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Solution

The fourth proportional to 715.96, 987.80 and 417.20 is: 575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.96 : 987.80 = 417.20 : x
  2. Step 2: Convert to fraction form
    715.96/987.80 = 417.20/x
  3. Step 3: Cross multiply
    715.96x = 987.80 × 417.20
  4. Step 4: Simplify right side
    715.96x = 412,110.16
  5. Step 5: Solve for x
    x = 412,110.16/715.96
  6. Step 6: Final answer
    x = 575.61

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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.