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Finding the Fourth Proportional to 478.23, 712.03 and 475.53

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Solution

The fourth proportional to 478.23, 712.03 and 475.53 is: 708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 712.03 = 475.53 : x
  2. Step 2: Convert to fraction form
    478.23/712.03 = 475.53/x
  3. Step 3: Cross multiply
    478.23x = 712.03 × 475.53
  4. Step 4: Simplify right side
    478.23x = 338,591.63
  5. Step 5: Solve for x
    x = 338,591.63/478.23
  6. Step 6: Final answer
    x = 708.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.