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Finding the Fourth Proportional to 663.80, 914.34 and 558.76

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Solution

The fourth proportional to 663.80, 914.34 and 558.76 is: 769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.80 : 914.34 = 558.76 : x
  2. Step 2: Convert to fraction form
    663.80/914.34 = 558.76/x
  3. Step 3: Cross multiply
    663.80x = 914.34 × 558.76
  4. Step 4: Simplify right side
    663.80x = 510,896.62
  5. Step 5: Solve for x
    x = 510,896.62/663.80
  6. Step 6: Final answer
    x = 769.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.