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Finding the Fourth Proportional to 817.76, 1,131.60 and 714.56

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Solution

The fourth proportional to 817.76, 1,131.60 and 714.56 is: 988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.76 : 1,131.60 = 714.56 : x
  2. Step 2: Convert to fraction form
    817.76/1,131.60 = 714.56/x
  3. Step 3: Cross multiply
    817.76x = 1,131.60 × 714.56
  4. Step 4: Simplify right side
    817.76x = 808,596.10
  5. Step 5: Solve for x
    x = 808,596.10/817.76
  6. Step 6: Final answer
    x = 988.79

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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.