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Finding the Fourth Proportional to 1,079.91, 1,490.28 and 686.94

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Solution

The fourth proportional to 1,079.91, 1,490.28 and 686.94 is: 947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.91 : 1,490.28 = 686.94 : x
  2. Step 2: Convert to fraction form
    1,079.91/1,490.28 = 686.94/x
  3. Step 3: Cross multiply
    1,079.91x = 1,490.28 × 686.94
  4. Step 4: Simplify right side
    1,079.91x = 1,023,732.94
  5. Step 5: Solve for x
    x = 1,023,732.94/1,079.91
  6. Step 6: Final answer
    x = 947.98

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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.