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Finding the Fourth Proportional to 630.16, 869.88 and 490.66

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Solution

The fourth proportional to 630.16, 869.88 and 490.66 is: 677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.16 : 869.88 = 490.66 : x
  2. Step 2: Convert to fraction form
    630.16/869.88 = 490.66/x
  3. Step 3: Cross multiply
    630.16x = 869.88 × 490.66
  4. Step 4: Simplify right side
    630.16x = 426,819.88
  5. Step 5: Solve for x
    x = 426,819.88/630.16
  6. Step 6: Final answer
    x = 677.32

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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.