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Finding the Fourth Proportional to 557.79, 769.25 and 401.46

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Solution

The fourth proportional to 557.79, 769.25 and 401.46 is: 553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.79 : 769.25 = 401.46 : x
  2. Step 2: Convert to fraction form
    557.79/769.25 = 401.46/x
  3. Step 3: Cross multiply
    557.79x = 769.25 × 401.46
  4. Step 4: Simplify right side
    557.79x = 308,818.97
  5. Step 5: Solve for x
    x = 308,818.97/557.79
  6. Step 6: Final answer
    x = 553.65

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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.