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Finding the Fourth Proportional to 1,128.46, 1,557.32 and 631.12

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Solution

The fourth proportional to 1,128.46, 1,557.32 and 631.12 is: 870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.46 : 1,557.32 = 631.12 : x
  2. Step 2: Convert to fraction form
    1,128.46/1,557.32 = 631.12/x
  3. Step 3: Cross multiply
    1,128.46x = 1,557.32 × 631.12
  4. Step 4: Simplify right side
    1,128.46x = 982,855.80
  5. Step 5: Solve for x
    x = 982,855.80/1,128.46
  6. Step 6: Final answer
    x = 870.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.