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Finding the Fourth Proportional to 1,058.62, 1,461.42 and 686.14

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Solution

The fourth proportional to 1,058.62, 1,461.42 and 686.14 is: 947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.62 : 1,461.42 = 686.14 : x
  2. Step 2: Convert to fraction form
    1,058.62/1,461.42 = 686.14/x
  3. Step 3: Cross multiply
    1,058.62x = 1,461.42 × 686.14
  4. Step 4: Simplify right side
    1,058.62x = 1,002,738.72
  5. Step 5: Solve for x
    x = 1,002,738.72/1,058.62
  6. Step 6: Final answer
    x = 947.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.