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Finding the Fourth Proportional to 950.47, 1,311.86 and 618.32

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Solution

The fourth proportional to 950.47, 1,311.86 and 618.32 is: 853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.47 : 1,311.86 = 618.32 : x
  2. Step 2: Convert to fraction form
    950.47/1,311.86 = 618.32/x
  3. Step 3: Cross multiply
    950.47x = 1,311.86 × 618.32
  4. Step 4: Simplify right side
    950.47x = 811,154.10
  5. Step 5: Solve for x
    x = 811,154.10/950.47
  6. Step 6: Final answer
    x = 853.43

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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.