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Finding the Fourth Proportional to 520.96, 718.76 and 311.17

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Solution

The fourth proportional to 520.96, 718.76 and 311.17 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.96 : 718.76 = 311.17 : x
  2. Step 2: Convert to fraction form
    520.96/718.76 = 311.17/x
  3. Step 3: Cross multiply
    520.96x = 718.76 × 311.17
  4. Step 4: Simplify right side
    520.96x = 223,654.99
  5. Step 5: Solve for x
    x = 223,654.99/520.96
  6. Step 6: Final answer
    x = 429.31

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Double scale
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Similar ratio
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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.