Home / 1,112.38-1,669.61-564.95

Finding the Fourth Proportional to 1,112.38, 1,669.61 and 564.95

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Solution

The fourth proportional to 1,112.38, 1,669.61 and 564.95 is: 847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.38 : 1,669.61 = 564.95 : x
  2. Step 2: Convert to fraction form
    1,112.38/1,669.61 = 564.95/x
  3. Step 3: Cross multiply
    1,112.38x = 1,669.61 × 564.95
  4. Step 4: Simplify right side
    1,112.38x = 943,243.34
  5. Step 5: Solve for x
    x = 943,243.34/1,112.38
  6. Step 6: Final answer
    x = 847.95

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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.