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Finding the Fourth Proportional to 591.17, 886.14 and 317.18

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Solution

The fourth proportional to 591.17, 886.14 and 317.18 is: 475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.17 : 886.14 = 317.18 : x
  2. Step 2: Convert to fraction form
    591.17/886.14 = 317.18/x
  3. Step 3: Cross multiply
    591.17x = 886.14 × 317.18
  4. Step 4: Simplify right side
    591.17x = 281,068.10
  5. Step 5: Solve for x
    x = 281,068.10/591.17
  6. Step 6: Final answer
    x = 475.45

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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.