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Finding the Fourth Proportional to 818.87, 1,130.57 and 597.43

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Solution

The fourth proportional to 818.87, 1,130.57 and 597.43 is: 824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.87 : 1,130.57 = 597.43 : x
  2. Step 2: Convert to fraction form
    818.87/1,130.57 = 597.43/x
  3. Step 3: Cross multiply
    818.87x = 1,130.57 × 597.43
  4. Step 4: Simplify right side
    818.87x = 675,435.10
  5. Step 5: Solve for x
    x = 675,435.10/818.87
  6. Step 6: Final answer
    x = 824.84

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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.