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Finding the Fourth Proportional to 468.06, 698.13 and 402.30

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Solution

The fourth proportional to 468.06, 698.13 and 402.30 is: 600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.06 : 698.13 = 402.30 : x
  2. Step 2: Convert to fraction form
    468.06/698.13 = 402.30/x
  3. Step 3: Cross multiply
    468.06x = 698.13 × 402.30
  4. Step 4: Simplify right side
    468.06x = 280,857.70
  5. Step 5: Solve for x
    x = 280,857.70/468.06
  6. Step 6: Final answer
    x = 600.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.