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Finding the Fourth Proportional to 1,502.68, 2,255.26 and 853.88

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Solution

The fourth proportional to 1,502.68, 2,255.26 and 853.88 is: 1,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.68 : 2,255.26 = 853.88 : x
  2. Step 2: Convert to fraction form
    1,502.68/2,255.26 = 853.88/x
  3. Step 3: Cross multiply
    1,502.68x = 2,255.26 × 853.88
  4. Step 4: Simplify right side
    1,502.68x = 1,925,721.41
  5. Step 5: Solve for x
    x = 1,925,721.41/1,502.68
  6. Step 6: Final answer
    x = 1,281.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.