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Finding the Fourth Proportional to 1,034.19, 1,426.68 and 641.34

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Solution

The fourth proportional to 1,034.19, 1,426.68 and 641.34 is: 884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.19 : 1,426.68 = 641.34 : x
  2. Step 2: Convert to fraction form
    1,034.19/1,426.68 = 641.34/x
  3. Step 3: Cross multiply
    1,034.19x = 1,426.68 × 641.34
  4. Step 4: Simplify right side
    1,034.19x = 914,986.95
  5. Step 5: Solve for x
    x = 914,986.95/1,034.19
  6. Step 6: Final answer
    x = 884.74

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1.5x scale

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.