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Finding the Fourth Proportional to 475.81, 712.46 and 402.47

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Solution

The fourth proportional to 475.81, 712.46 and 402.47 is: 602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.81 : 712.46 = 402.47 : x
  2. Step 2: Convert to fraction form
    475.81/712.46 = 402.47/x
  3. Step 3: Cross multiply
    475.81x = 712.46 × 402.47
  4. Step 4: Simplify right side
    475.81x = 286,743.89
  5. Step 5: Solve for x
    x = 286,743.89/475.81
  6. Step 6: Final answer
    x = 602.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.