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Finding the Fourth Proportional to 676.31, 1,008.75 and 655.80

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Solution

The fourth proportional to 676.31, 1,008.75 and 655.80 is: 978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.31 : 1,008.75 = 655.80 : x
  2. Step 2: Convert to fraction form
    676.31/1,008.75 = 655.80/x
  3. Step 3: Cross multiply
    676.31x = 1,008.75 × 655.80
  4. Step 4: Simplify right side
    676.31x = 661,538.25
  5. Step 5: Solve for x
    x = 661,538.25/676.31
  6. Step 6: Final answer
    x = 978.17

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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.