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Finding the Fourth Proportional to 630.48, 945.24 and 402

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Solution

The fourth proportional to 630.48, 945.24 and 402 is: 602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.48 : 945.24 = 402 : x
  2. Step 2: Convert to fraction form
    630.48/945.24 = 402/x
  3. Step 3: Cross multiply
    630.48x = 945.24 × 402
  4. Step 4: Simplify right side
    630.48x = 379,986.48
  5. Step 5: Solve for x
    x = 379,986.48/630.48
  6. Step 6: Final answer
    x = 602.69

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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.