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Finding the Fourth Proportional to 1,039.04, 1,434.52 and 689.84

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Solution

The fourth proportional to 1,039.04, 1,434.52 and 689.84 is: 952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.04 : 1,434.52 = 689.84 : x
  2. Step 2: Convert to fraction form
    1,039.04/1,434.52 = 689.84/x
  3. Step 3: Cross multiply
    1,039.04x = 1,434.52 × 689.84
  4. Step 4: Simplify right side
    1,039.04x = 989,589.28
  5. Step 5: Solve for x
    x = 989,589.28/1,039.04
  6. Step 6: Final answer
    x = 952.41

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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.