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Finding the Fourth Proportional to 490.95, 677.88 and 402.30

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Solution

The fourth proportional to 490.95, 677.88 and 402.30 is: 555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.95 : 677.88 = 402.30 : x
  2. Step 2: Convert to fraction form
    490.95/677.88 = 402.30/x
  3. Step 3: Cross multiply
    490.95x = 677.88 × 402.30
  4. Step 4: Simplify right side
    490.95x = 272,711.12
  5. Step 5: Solve for x
    x = 272,711.12/490.95
  6. Step 6: Final answer
    x = 555.48

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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.