Home / 1,298.40-1,948.80-1,025.28

Finding the Fourth Proportional to 1,298.40, 1,948.80 and 1,025.28

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Solution

The fourth proportional to 1,298.40, 1,948.80 and 1,025.28 is: 1,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.40 : 1,948.80 = 1,025.28 : x
  2. Step 2: Convert to fraction form
    1,298.40/1,948.80 = 1,025.28/x
  3. Step 3: Cross multiply
    1,298.40x = 1,948.80 × 1,025.28
  4. Step 4: Simplify right side
    1,298.40x = 1,998,065.66
  5. Step 5: Solve for x
    x = 1,998,065.66/1,298.40
  6. Step 6: Final answer
    x = 1,538.87

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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.