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Finding the Fourth Proportional to 1,060.13, 1,461.97 and 686.93

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Solution

The fourth proportional to 1,060.13, 1,461.97 and 686.93 is: 947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.13 : 1,461.97 = 686.93 : x
  2. Step 2: Convert to fraction form
    1,060.13/1,461.97 = 686.93/x
  3. Step 3: Cross multiply
    1,060.13x = 1,461.97 × 686.93
  4. Step 4: Simplify right side
    1,060.13x = 1,004,262.02
  5. Step 5: Solve for x
    x = 1,004,262.02/1,060.13
  6. Step 6: Final answer
    x = 947.30

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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.