Home / 1,112.48-1,669.20-463.68

Finding the Fourth Proportional to 1,112.48, 1,669.20 and 463.68

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Solution

The fourth proportional to 1,112.48, 1,669.20 and 463.68 is: 695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.48 : 1,669.20 = 463.68 : x
  2. Step 2: Convert to fraction form
    1,112.48/1,669.20 = 463.68/x
  3. Step 3: Cross multiply
    1,112.48x = 1,669.20 × 463.68
  4. Step 4: Simplify right side
    1,112.48x = 773,974.66
  5. Step 5: Solve for x
    x = 773,974.66/1,112.48
  6. Step 6: Final answer
    x = 695.72

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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.