Home / 1,488.14-2,232.46-514.02

Finding the Fourth Proportional to 1,488.14, 2,232.46 and 514.02

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Solution

The fourth proportional to 1,488.14, 2,232.46 and 514.02 is: 771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.14 : 2,232.46 = 514.02 : x
  2. Step 2: Convert to fraction form
    1,488.14/2,232.46 = 514.02/x
  3. Step 3: Cross multiply
    1,488.14x = 2,232.46 × 514.02
  4. Step 4: Simplify right side
    1,488.14x = 1,147,517.93
  5. Step 5: Solve for x
    x = 1,147,517.93/1,488.14
  6. Step 6: Final answer
    x = 771.11

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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.