Home / 1,284.18-1,772.10-760.20

Finding the Fourth Proportional to 1,284.18, 1,772.10 and 760.20

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Solution

The fourth proportional to 1,284.18, 1,772.10 and 760.20 is: 1,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.18 : 1,772.10 = 760.20 : x
  2. Step 2: Convert to fraction form
    1,284.18/1,772.10 = 760.20/x
  3. Step 3: Cross multiply
    1,284.18x = 1,772.10 × 760.20
  4. Step 4: Simplify right side
    1,284.18x = 1,347,150.42
  5. Step 5: Solve for x
    x = 1,347,150.42/1,284.18
  6. Step 6: Final answer
    x = 1,049.04

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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.