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Finding the Fourth Proportional to 861.57, 1,292.91 and 341.49

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Solution

The fourth proportional to 861.57, 1,292.91 and 341.49 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.57 : 1,292.91 = 341.49 : x
  2. Step 2: Convert to fraction form
    861.57/1,292.91 = 341.49/x
  3. Step 3: Cross multiply
    861.57x = 1,292.91 × 341.49
  4. Step 4: Simplify right side
    861.57x = 441,515.84
  5. Step 5: Solve for x
    x = 441,515.84/861.57
  6. Step 6: Final answer
    x = 512.45

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1.5x scale

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.