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Finding the Fourth Proportional to 861.19, 1,291.78 and 341.47

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Solution

The fourth proportional to 861.19, 1,291.78 and 341.47 is: 512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.19 : 1,291.78 = 341.47 : x
  2. Step 2: Convert to fraction form
    861.19/1,291.78 = 341.47/x
  3. Step 3: Cross multiply
    861.19x = 1,291.78 × 341.47
  4. Step 4: Simplify right side
    861.19x = 441,106.16
  5. Step 5: Solve for x
    x = 441,106.16/861.19
  6. Step 6: Final answer
    x = 512.21

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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.