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Finding the Fourth Proportional to 1,092.30, 1,507.37 and 672.63

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Solution

The fourth proportional to 1,092.30, 1,507.37 and 672.63 is: 928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.30 : 1,507.37 = 672.63 : x
  2. Step 2: Convert to fraction form
    1,092.30/1,507.37 = 672.63/x
  3. Step 3: Cross multiply
    1,092.30x = 1,507.37 × 672.63
  4. Step 4: Simplify right side
    1,092.30x = 1,013,898.92
  5. Step 5: Solve for x
    x = 1,013,898.92/1,092.30
  6. Step 6: Final answer
    x = 928.22

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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.