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Finding the Fourth Proportional to 591.17, 886.47 and 344.46

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Solution

The fourth proportional to 591.17, 886.47 and 344.46 is: 516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.17 : 886.47 = 344.46 : x
  2. Step 2: Convert to fraction form
    591.17/886.47 = 344.46/x
  3. Step 3: Cross multiply
    591.17x = 886.47 × 344.46
  4. Step 4: Simplify right side
    591.17x = 305,349.52
  5. Step 5: Solve for x
    x = 305,349.52/591.17
  6. Step 6: Final answer
    x = 516.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.