Home / 1,442.30-2,162.84-517.68

Finding the Fourth Proportional to 1,442.30, 2,162.84 and 517.68

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Solution

The fourth proportional to 1,442.30, 2,162.84 and 517.68 is: 776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.30 : 2,162.84 = 517.68 : x
  2. Step 2: Convert to fraction form
    1,442.30/2,162.84 = 517.68/x
  3. Step 3: Cross multiply
    1,442.30x = 2,162.84 × 517.68
  4. Step 4: Simplify right side
    1,442.30x = 1,119,656.42
  5. Step 5: Solve for x
    x = 1,119,656.42/1,442.30
  6. Step 6: Final answer
    x = 776.30

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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.