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Finding the Fourth Proportional to 1,042.72, 1,437.68 and 649.06

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Solution

The fourth proportional to 1,042.72, 1,437.68 and 649.06 is: 894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.72 : 1,437.68 = 649.06 : x
  2. Step 2: Convert to fraction form
    1,042.72/1,437.68 = 649.06/x
  3. Step 3: Cross multiply
    1,042.72x = 1,437.68 × 649.06
  4. Step 4: Simplify right side
    1,042.72x = 933,138.61
  5. Step 5: Solve for x
    x = 933,138.61/1,042.72
  6. Step 6: Final answer
    x = 894.91

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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.