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Finding the Fourth Proportional to 1,152.12, 1,589.91 and 628.15

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Solution

The fourth proportional to 1,152.12, 1,589.91 and 628.15 is: 866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.12 : 1,589.91 = 628.15 : x
  2. Step 2: Convert to fraction form
    1,152.12/1,589.91 = 628.15/x
  3. Step 3: Cross multiply
    1,152.12x = 1,589.91 × 628.15
  4. Step 4: Simplify right side
    1,152.12x = 998,701.97
  5. Step 5: Solve for x
    x = 998,701.97/1,152.12
  6. Step 6: Final answer
    x = 866.84

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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.