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Finding the Fourth Proportional to 818.34, 1,129.32 and 597.66

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Solution

The fourth proportional to 818.34, 1,129.32 and 597.66 is: 824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.34 : 1,129.32 = 597.66 : x
  2. Step 2: Convert to fraction form
    818.34/1,129.32 = 597.66/x
  3. Step 3: Cross multiply
    818.34x = 1,129.32 × 597.66
  4. Step 4: Simplify right side
    818.34x = 674,949.39
  5. Step 5: Solve for x
    x = 674,949.39/818.34
  6. Step 6: Final answer
    x = 824.78

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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.