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Finding the Fourth Proportional to 1,128.94, 1,558.07 and 631.70

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Solution

The fourth proportional to 1,128.94, 1,558.07 and 631.70 is: 871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.94 : 1,558.07 = 631.70 : x
  2. Step 2: Convert to fraction form
    1,128.94/1,558.07 = 631.70/x
  3. Step 3: Cross multiply
    1,128.94x = 1,558.07 × 631.70
  4. Step 4: Simplify right side
    1,128.94x = 984,230.08
  5. Step 5: Solve for x
    x = 984,230.08/1,128.94
  6. Step 6: Final answer
    x = 871.82

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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.