Home / 1,213.08-1,819.72-510.14

Finding the Fourth Proportional to 1,213.08, 1,819.72 and 510.14

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Solution

The fourth proportional to 1,213.08, 1,819.72 and 510.14 is: 765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.08 : 1,819.72 = 510.14 : x
  2. Step 2: Convert to fraction form
    1,213.08/1,819.72 = 510.14/x
  3. Step 3: Cross multiply
    1,213.08x = 1,819.72 × 510.14
  4. Step 4: Simplify right side
    1,213.08x = 928,311.96
  5. Step 5: Solve for x
    x = 928,311.96/1,213.08
  6. Step 6: Final answer
    x = 765.25

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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.