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Finding the Fourth Proportional to 715.47, 988.28 and 591.63

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Solution

The fourth proportional to 715.47, 988.28 and 591.63 is: 817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.47 : 988.28 = 591.63 : x
  2. Step 2: Convert to fraction form
    715.47/988.28 = 591.63/x
  3. Step 3: Cross multiply
    715.47x = 988.28 × 591.63
  4. Step 4: Simplify right side
    715.47x = 584,693.14
  5. Step 5: Solve for x
    x = 584,693.14/715.47
  6. Step 6: Final answer
    x = 817.22

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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.