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Finding the Fourth Proportional to 591.49, 886.42 and 317.51

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Solution

The fourth proportional to 591.49, 886.42 and 317.51 is: 475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.49 : 886.42 = 317.51 : x
  2. Step 2: Convert to fraction form
    591.49/886.42 = 317.51/x
  3. Step 3: Cross multiply
    591.49x = 886.42 × 317.51
  4. Step 4: Simplify right side
    591.49x = 281,447.21
  5. Step 5: Solve for x
    x = 281,447.21/591.49
  6. Step 6: Final answer
    x = 475.83

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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.