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Finding the Fourth Proportional to 666.24, 991.84 and 657.12

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Solution

The fourth proportional to 666.24, 991.84 and 657.12 is: 978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.24 : 991.84 = 657.12 : x
  2. Step 2: Convert to fraction form
    666.24/991.84 = 657.12/x
  3. Step 3: Cross multiply
    666.24x = 991.84 × 657.12
  4. Step 4: Simplify right side
    666.24x = 651,757.90
  5. Step 5: Solve for x
    x = 651,757.90/666.24
  6. Step 6: Final answer
    x = 978.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.