Home / 1,442.27-2,162.84-517.66

Finding the Fourth Proportional to 1,442.27, 2,162.84 and 517.66

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Solution

The fourth proportional to 1,442.27, 2,162.84 and 517.66 is: 776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.27 : 2,162.84 = 517.66 : x
  2. Step 2: Convert to fraction form
    1,442.27/2,162.84 = 517.66/x
  3. Step 3: Cross multiply
    1,442.27x = 2,162.84 × 517.66
  4. Step 4: Simplify right side
    1,442.27x = 1,119,607.76
  5. Step 5: Solve for x
    x = 1,119,607.76/1,442.27
  6. Step 6: Final answer
    x = 776.28

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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.