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Finding the Fourth Proportional to 651.14, 898.80 and 402.88

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Solution

The fourth proportional to 651.14, 898.80 and 402.88 is: 556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 898.80 = 402.88 : x
  2. Step 2: Convert to fraction form
    651.14/898.80 = 402.88/x
  3. Step 3: Cross multiply
    651.14x = 898.80 × 402.88
  4. Step 4: Simplify right side
    651.14x = 362,108.54
  5. Step 5: Solve for x
    x = 362,108.54/651.14
  6. Step 6: Final answer
    x = 556.11

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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.