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Finding the Fourth Proportional to 807.91, 1,115.28 and 528.15

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Solution

The fourth proportional to 807.91, 1,115.28 and 528.15 is: 729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.91 : 1,115.28 = 528.15 : x
  2. Step 2: Convert to fraction form
    807.91/1,115.28 = 528.15/x
  3. Step 3: Cross multiply
    807.91x = 1,115.28 × 528.15
  4. Step 4: Simplify right side
    807.91x = 589,039.31
  5. Step 5: Solve for x
    x = 589,039.31/807.91
  6. Step 6: Final answer
    x = 729.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.