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Finding the Fourth Proportional to 1,034.43, 1,423.27 and 894.09

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Solution

The fourth proportional to 1,034.43, 1,423.27 and 894.09 is: 1,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.43 : 1,423.27 = 894.09 : x
  2. Step 2: Convert to fraction form
    1,034.43/1,423.27 = 894.09/x
  3. Step 3: Cross multiply
    1,034.43x = 1,423.27 × 894.09
  4. Step 4: Simplify right side
    1,034.43x = 1,272,531.47
  5. Step 5: Solve for x
    x = 1,272,531.47/1,034.43
  6. Step 6: Final answer
    x = 1,230.18

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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.