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Finding the Fourth Proportional to 557.89, 769.42 and 358.76

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Solution

The fourth proportional to 557.89, 769.42 and 358.76 is: 494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.89 : 769.42 = 358.76 : x
  2. Step 2: Convert to fraction form
    557.89/769.42 = 358.76/x
  3. Step 3: Cross multiply
    557.89x = 769.42 × 358.76
  4. Step 4: Simplify right side
    557.89x = 276,032.38
  5. Step 5: Solve for x
    x = 276,032.38/557.89
  6. Step 6: Final answer
    x = 494.78

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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.