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Finding the Fourth Proportional to 478.42, 663.02 and 469.78

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Solution

The fourth proportional to 478.42, 663.02 and 469.78 is: 651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.42 : 663.02 = 469.78 : x
  2. Step 2: Convert to fraction form
    478.42/663.02 = 469.78/x
  3. Step 3: Cross multiply
    478.42x = 663.02 × 469.78
  4. Step 4: Simplify right side
    478.42x = 311,471.19
  5. Step 5: Solve for x
    x = 311,471.19/478.42
  6. Step 6: Final answer
    x = 651.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.