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Finding the Fourth Proportional to 715.90, 988.42 and 517.08

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Solution

The fourth proportional to 715.90, 988.42 and 517.08 is: 713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.90 : 988.42 = 517.08 : x
  2. Step 2: Convert to fraction form
    715.90/988.42 = 517.08/x
  3. Step 3: Cross multiply
    715.90x = 988.42 × 517.08
  4. Step 4: Simplify right side
    715.90x = 511,090.43
  5. Step 5: Solve for x
    x = 511,090.43/715.90
  6. Step 6: Final answer
    x = 713.91

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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.