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Finding the Fourth Proportional to 630.02, 869.43 and 381.29

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Solution

The fourth proportional to 630.02, 869.43 and 381.29 is: 526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.02 : 869.43 = 381.29 : x
  2. Step 2: Convert to fraction form
    630.02/869.43 = 381.29/x
  3. Step 3: Cross multiply
    630.02x = 869.43 × 381.29
  4. Step 4: Simplify right side
    630.02x = 331,504.96
  5. Step 5: Solve for x
    x = 331,504.96/630.02
  6. Step 6: Final answer
    x = 526.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.