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Finding the Fourth Proportional to 657.76, 986.57 and 440.88

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Solution

The fourth proportional to 657.76, 986.57 and 440.88 is: 661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.76 : 986.57 = 440.88 : x
  2. Step 2: Convert to fraction form
    657.76/986.57 = 440.88/x
  3. Step 3: Cross multiply
    657.76x = 986.57 × 440.88
  4. Step 4: Simplify right side
    657.76x = 434,956.78
  5. Step 5: Solve for x
    x = 434,956.78/657.76
  6. Step 6: Final answer
    x = 661.27

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.