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Finding the Fourth Proportional to 657.90, 980.50 and 656.88

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Solution

The fourth proportional to 657.90, 980.50 and 656.88 is: 978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.90 : 980.50 = 656.88 : x
  2. Step 2: Convert to fraction form
    657.90/980.50 = 656.88/x
  3. Step 3: Cross multiply
    657.90x = 980.50 × 656.88
  4. Step 4: Simplify right side
    657.90x = 644,070.84
  5. Step 5: Solve for x
    x = 644,070.84/657.90
  6. Step 6: Final answer
    x = 978.98

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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.