Home / 1,410.30-2,115.20-473.14

Finding the Fourth Proportional to 1,410.30, 2,115.20 and 473.14

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Solution

The fourth proportional to 1,410.30, 2,115.20 and 473.14 is: 709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.30 : 2,115.20 = 473.14 : x
  2. Step 2: Convert to fraction form
    1,410.30/2,115.20 = 473.14/x
  3. Step 3: Cross multiply
    1,410.30x = 2,115.20 × 473.14
  4. Step 4: Simplify right side
    1,410.30x = 1,000,785.73
  5. Step 5: Solve for x
    x = 1,000,785.73/1,410.30
  6. Step 6: Final answer
    x = 709.63

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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.