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Finding the Fourth Proportional to 839.06, 1,154.51 and 689.14

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Solution

The fourth proportional to 839.06, 1,154.51 and 689.14 is: 948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.06 : 1,154.51 = 689.14 : x
  2. Step 2: Convert to fraction form
    839.06/1,154.51 = 689.14/x
  3. Step 3: Cross multiply
    839.06x = 1,154.51 × 689.14
  4. Step 4: Simplify right side
    839.06x = 795,609.80
  5. Step 5: Solve for x
    x = 795,609.80/839.06
  6. Step 6: Final answer
    x = 948.22

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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.