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Finding the Fourth Proportional to 715.86, 987.93 and 417.15

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Solution

The fourth proportional to 715.86, 987.93 and 417.15 is: 575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.86 : 987.93 = 417.15 : x
  2. Step 2: Convert to fraction form
    715.86/987.93 = 417.15/x
  3. Step 3: Cross multiply
    715.86x = 987.93 × 417.15
  4. Step 4: Simplify right side
    715.86x = 412,115.00
  5. Step 5: Solve for x
    x = 412,115.00/715.86
  6. Step 6: Final answer
    x = 575.69

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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.