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Finding the Fourth Proportional to 1,128.98, 1,557.97 and 631.64

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Solution

The fourth proportional to 1,128.98, 1,557.97 and 631.64 is: 871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.98 : 1,557.97 = 631.64 : x
  2. Step 2: Convert to fraction form
    1,128.98/1,557.97 = 631.64/x
  3. Step 3: Cross multiply
    1,128.98x = 1,557.97 × 631.64
  4. Step 4: Simplify right side
    1,128.98x = 984,078.49
  5. Step 5: Solve for x
    x = 984,078.49/1,128.98
  6. Step 6: Final answer
    x = 871.65

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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.