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Finding the Fourth Proportional to 838.46, 1,158.29 and 618.62

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Solution

The fourth proportional to 838.46, 1,158.29 and 618.62 is: 854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,158.29 = 618.62 : x
  2. Step 2: Convert to fraction form
    838.46/1,158.29 = 618.62/x
  3. Step 3: Cross multiply
    838.46x = 1,158.29 × 618.62
  4. Step 4: Simplify right side
    838.46x = 716,544.79
  5. Step 5: Solve for x
    x = 716,544.79/838.46
  6. Step 6: Final answer
    x = 854.60

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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.