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Finding the Fourth Proportional to 1,291.62, 1,937.43 and 317.74

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Solution

The fourth proportional to 1,291.62, 1,937.43 and 317.74 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.62 : 1,937.43 = 317.74 : x
  2. Step 2: Convert to fraction form
    1,291.62/1,937.43 = 317.74/x
  3. Step 3: Cross multiply
    1,291.62x = 1,937.43 × 317.74
  4. Step 4: Simplify right side
    1,291.62x = 615,599.01
  5. Step 5: Solve for x
    x = 615,599.01/1,291.62
  6. Step 6: Final answer
    x = 476.61

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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.