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Finding the Fourth Proportional to 420.32, 630.13 and 283.63

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Solution

The fourth proportional to 420.32, 630.13 and 283.63 is: 425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.32 : 630.13 = 283.63 : x
  2. Step 2: Convert to fraction form
    420.32/630.13 = 283.63/x
  3. Step 3: Cross multiply
    420.32x = 630.13 × 283.63
  4. Step 4: Simplify right side
    420.32x = 178,723.77
  5. Step 5: Solve for x
    x = 178,723.77/420.32
  6. Step 6: Final answer
    x = 425.21

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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.