Home / 1,234.20-1,851.12-412.47

Finding the Fourth Proportional to 1,234.20, 1,851.12 and 412.47

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Solution

The fourth proportional to 1,234.20, 1,851.12 and 412.47 is: 618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.20 : 1,851.12 = 412.47 : x
  2. Step 2: Convert to fraction form
    1,234.20/1,851.12 = 412.47/x
  3. Step 3: Cross multiply
    1,234.20x = 1,851.12 × 412.47
  4. Step 4: Simplify right side
    1,234.20x = 763,531.47
  5. Step 5: Solve for x
    x = 763,531.47/1,234.20
  6. Step 6: Final answer
    x = 618.64

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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.