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Finding the Fourth Proportional to 1,514.68, 2,272.74 and 745

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Solution

The fourth proportional to 1,514.68, 2,272.74 and 745 is: 1,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.68 : 2,272.74 = 745 : x
  2. Step 2: Convert to fraction form
    1,514.68/2,272.74 = 745/x
  3. Step 3: Cross multiply
    1,514.68x = 2,272.74 × 745
  4. Step 4: Simplify right side
    1,514.68x = 1,693,191.30
  5. Step 5: Solve for x
    x = 1,693,191.30/1,514.68
  6. Step 6: Final answer
    x = 1,117.85

Related Problems

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Half scale
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Double scale
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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.