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Finding the Fourth Proportional to 659.74, 906.11 and 549.04

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Solution

The fourth proportional to 659.74, 906.11 and 549.04 is: 754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.74 : 906.11 = 549.04 : x
  2. Step 2: Convert to fraction form
    659.74/906.11 = 549.04/x
  3. Step 3: Cross multiply
    659.74x = 906.11 × 549.04
  4. Step 4: Simplify right side
    659.74x = 497,490.63
  5. Step 5: Solve for x
    x = 497,490.63/659.74
  6. Step 6: Final answer
    x = 754.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.