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Finding the Fourth Proportional to 807.67, 1,114.53 and 528.46

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Solution

The fourth proportional to 807.67, 1,114.53 and 528.46 is: 729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.67 : 1,114.53 = 528.46 : x
  2. Step 2: Convert to fraction form
    807.67/1,114.53 = 528.46/x
  3. Step 3: Cross multiply
    807.67x = 1,114.53 × 528.46
  4. Step 4: Simplify right side
    807.67x = 588,979.76
  5. Step 5: Solve for x
    x = 588,979.76/807.67
  6. Step 6: Final answer
    x = 729.23

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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.