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Finding the Fourth Proportional to 920.28, 1,382.45 and 555.29

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Solution

The fourth proportional to 920.28, 1,382.45 and 555.29 is: 834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.28 : 1,382.45 = 555.29 : x
  2. Step 2: Convert to fraction form
    920.28/1,382.45 = 555.29/x
  3. Step 3: Cross multiply
    920.28x = 1,382.45 × 555.29
  4. Step 4: Simplify right side
    920.28x = 767,650.97
  5. Step 5: Solve for x
    x = 767,650.97/920.28
  6. Step 6: Final answer
    x = 834.15

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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.