Home / 1,380.26-2,070.32-514.50

Finding the Fourth Proportional to 1,380.26, 2,070.32 and 514.50

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Solution

The fourth proportional to 1,380.26, 2,070.32 and 514.50 is: 771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.26 : 2,070.32 = 514.50 : x
  2. Step 2: Convert to fraction form
    1,380.26/2,070.32 = 514.50/x
  3. Step 3: Cross multiply
    1,380.26x = 2,070.32 × 514.50
  4. Step 4: Simplify right side
    1,380.26x = 1,065,177.07
  5. Step 5: Solve for x
    x = 1,065,177.07/1,380.26
  6. Step 6: Final answer
    x = 771.72

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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.