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Finding the Fourth Proportional to 423.78, 631.52 and 402.90

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Solution

The fourth proportional to 423.78, 631.52 and 402.90 is: 600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.78 : 631.52 = 402.90 : x
  2. Step 2: Convert to fraction form
    423.78/631.52 = 402.90/x
  3. Step 3: Cross multiply
    423.78x = 631.52 × 402.90
  4. Step 4: Simplify right side
    423.78x = 254,437.39
  5. Step 5: Solve for x
    x = 254,437.39/423.78
  6. Step 6: Final answer
    x = 600.40

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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.