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Finding the Fourth Proportional to 630.42, 943.71 and 459.54

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Solution

The fourth proportional to 630.42, 943.71 and 459.54 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.42 : 943.71 = 459.54 : x
  2. Step 2: Convert to fraction form
    630.42/943.71 = 459.54/x
  3. Step 3: Cross multiply
    630.42x = 943.71 × 459.54
  4. Step 4: Simplify right side
    630.42x = 433,672.49
  5. Step 5: Solve for x
    x = 433,672.49/630.42
  6. Step 6: Final answer
    x = 687.91

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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.