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Finding the Fourth Proportional to 659.61, 991.04 and 649.89

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Solution

The fourth proportional to 659.61, 991.04 and 649.89 is: 976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.61 : 991.04 = 649.89 : x
  2. Step 2: Convert to fraction form
    659.61/991.04 = 649.89/x
  3. Step 3: Cross multiply
    659.61x = 991.04 × 649.89
  4. Step 4: Simplify right side
    659.61x = 644,063.74
  5. Step 5: Solve for x
    x = 644,063.74/659.61
  6. Step 6: Final answer
    x = 976.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.