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Finding the Fourth Proportional to 820.71, 1,131.26 and 714.10

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Solution

The fourth proportional to 820.71, 1,131.26 and 714.10 is: 984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.71 : 1,131.26 = 714.10 : x
  2. Step 2: Convert to fraction form
    820.71/1,131.26 = 714.10/x
  3. Step 3: Cross multiply
    820.71x = 1,131.26 × 714.10
  4. Step 4: Simplify right side
    820.71x = 807,828.15
  5. Step 5: Solve for x
    x = 807,828.15/820.71
  6. Step 6: Final answer
    x = 984.30

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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.