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Finding the Fourth Proportional to 630.60, 945.21 and 283.45

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Solution

The fourth proportional to 630.60, 945.21 and 283.45 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.60 : 945.21 = 283.45 : x
  2. Step 2: Convert to fraction form
    630.60/945.21 = 283.45/x
  3. Step 3: Cross multiply
    630.60x = 945.21 × 283.45
  4. Step 4: Simplify right side
    630.60x = 267,919.77
  5. Step 5: Solve for x
    x = 267,919.77/630.60
  6. Step 6: Final answer
    x = 424.87

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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.