Home / 1,234.07-1,851.10-412.15

Finding the Fourth Proportional to 1,234.07, 1,851.10 and 412.15

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Solution

The fourth proportional to 1,234.07, 1,851.10 and 412.15 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.07 : 1,851.10 = 412.15 : x
  2. Step 2: Convert to fraction form
    1,234.07/1,851.10 = 412.15/x
  3. Step 3: Cross multiply
    1,234.07x = 1,851.10 × 412.15
  4. Step 4: Simplify right side
    1,234.07x = 762,928.80
  5. Step 5: Solve for x
    x = 762,928.80/1,234.07
  6. Step 6: Final answer
    x = 618.22

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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.