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Finding the Fourth Proportional to 657.48, 980.34 and 633.76

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Solution

The fourth proportional to 657.48, 980.34 and 633.76 is: 944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 980.34 = 633.76 : x
  2. Step 2: Convert to fraction form
    657.48/980.34 = 633.76/x
  3. Step 3: Cross multiply
    657.48x = 980.34 × 633.76
  4. Step 4: Simplify right side
    657.48x = 621,298.69
  5. Step 5: Solve for x
    x = 621,298.69/657.48
  6. Step 6: Final answer
    x = 944.98

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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.