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Finding the Fourth Proportional to 650.76, 898.02 and 402.11

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Solution

The fourth proportional to 650.76, 898.02 and 402.11 is: 554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.76 : 898.02 = 402.11 : x
  2. Step 2: Convert to fraction form
    650.76/898.02 = 402.11/x
  3. Step 3: Cross multiply
    650.76x = 898.02 × 402.11
  4. Step 4: Simplify right side
    650.76x = 361,102.82
  5. Step 5: Solve for x
    x = 361,102.82/650.76
  6. Step 6: Final answer
    x = 554.89

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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.