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Finding the Fourth Proportional to 553.28, 761.70 and 426.92

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Solution

The fourth proportional to 553.28, 761.70 and 426.92 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.28 : 761.70 = 426.92 : x
  2. Step 2: Convert to fraction form
    553.28/761.70 = 426.92/x
  3. Step 3: Cross multiply
    553.28x = 761.70 × 426.92
  4. Step 4: Simplify right side
    553.28x = 325,184.96
  5. Step 5: Solve for x
    x = 325,184.96/553.28
  6. Step 6: Final answer
    x = 587.74

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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.