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Finding the Fourth Proportional to 1,124.28, 1,686.42 and 630.69

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Solution

The fourth proportional to 1,124.28, 1,686.42 and 630.69 is: 946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.28 : 1,686.42 = 630.69 : x
  2. Step 2: Convert to fraction form
    1,124.28/1,686.42 = 630.69/x
  3. Step 3: Cross multiply
    1,124.28x = 1,686.42 × 630.69
  4. Step 4: Simplify right side
    1,124.28x = 1,063,605.08
  5. Step 5: Solve for x
    x = 1,063,605.08/1,124.28
  6. Step 6: Final answer
    x = 946.03

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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.