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Finding the Fourth Proportional to 634.40, 876.58 and 488.30

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Solution

The fourth proportional to 634.40, 876.58 and 488.30 is: 674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.40 : 876.58 = 488.30 : x
  2. Step 2: Convert to fraction form
    634.40/876.58 = 488.30/x
  3. Step 3: Cross multiply
    634.40x = 876.58 × 488.30
  4. Step 4: Simplify right side
    634.40x = 428,028.41
  5. Step 5: Solve for x
    x = 428,028.41/634.40
  6. Step 6: Final answer
    x = 674.70

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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.