Home / 1,501.29-2,251.62-514.02

Finding the Fourth Proportional to 1,501.29, 2,251.62 and 514.02

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Solution

The fourth proportional to 1,501.29, 2,251.62 and 514.02 is: 770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.29 : 2,251.62 = 514.02 : x
  2. Step 2: Convert to fraction form
    1,501.29/2,251.62 = 514.02/x
  3. Step 3: Cross multiply
    1,501.29x = 2,251.62 × 514.02
  4. Step 4: Simplify right side
    1,501.29x = 1,157,377.71
  5. Step 5: Solve for x
    x = 1,157,377.71/1,501.29
  6. Step 6: Final answer
    x = 770.92

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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.