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Finding the Fourth Proportional to 650.76, 897.88 and 402.20

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Solution

The fourth proportional to 650.76, 897.88 and 402.20 is: 554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.76 : 897.88 = 402.20 : x
  2. Step 2: Convert to fraction form
    650.76/897.88 = 402.20/x
  3. Step 3: Cross multiply
    650.76x = 897.88 × 402.20
  4. Step 4: Simplify right side
    650.76x = 361,127.34
  5. Step 5: Solve for x
    x = 361,127.34/650.76
  6. Step 6: Final answer
    x = 554.93

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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.