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Finding the Fourth Proportional to 785.04, 1,082.61 and 598.20

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Solution

The fourth proportional to 785.04, 1,082.61 and 598.20 is: 824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.04 : 1,082.61 = 598.20 : x
  2. Step 2: Convert to fraction form
    785.04/1,082.61 = 598.20/x
  3. Step 3: Cross multiply
    785.04x = 1,082.61 × 598.20
  4. Step 4: Simplify right side
    785.04x = 647,617.30
  5. Step 5: Solve for x
    x = 647,617.30/785.04
  6. Step 6: Final answer
    x = 824.95

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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.