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Finding the Fourth Proportional to 1,324, 1,984.71 and 630.48

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Solution

The fourth proportional to 1,324, 1,984.71 and 630.48 is: 945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324 : 1,984.71 = 630.48 : x
  2. Step 2: Convert to fraction form
    1,324/1,984.71 = 630.48/x
  3. Step 3: Cross multiply
    1,324x = 1,984.71 × 630.48
  4. Step 4: Simplify right side
    1,324x = 1,251,324.13
  5. Step 5: Solve for x
    x = 1,251,324.13/1,324
  6. Step 6: Final answer
    x = 945.11

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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.