Home / 1,035.20-1,552.80-922.43

Finding the Fourth Proportional to 1,035.20, 1,552.80 and 922.43

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Solution

The fourth proportional to 1,035.20, 1,552.80 and 922.43 is: 1,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.20 : 1,552.80 = 922.43 : x
  2. Step 2: Convert to fraction form
    1,035.20/1,552.80 = 922.43/x
  3. Step 3: Cross multiply
    1,035.20x = 1,552.80 × 922.43
  4. Step 4: Simplify right side
    1,035.20x = 1,432,349.30
  5. Step 5: Solve for x
    x = 1,432,349.30/1,035.20
  6. Step 6: Final answer
    x = 1,383.65

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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.