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Finding the Fourth Proportional to 626.38, 862.83 and 478.76

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Solution

The fourth proportional to 626.38, 862.83 and 478.76 is: 659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.38 : 862.83 = 478.76 : x
  2. Step 2: Convert to fraction form
    626.38/862.83 = 478.76/x
  3. Step 3: Cross multiply
    626.38x = 862.83 × 478.76
  4. Step 4: Simplify right side
    626.38x = 413,088.85
  5. Step 5: Solve for x
    x = 413,088.85/626.38
  6. Step 6: Final answer
    x = 659.49

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1.5x scale

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.