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Finding the Fourth Proportional to 785.16, 1,082.40 and 563.72

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Solution

The fourth proportional to 785.16, 1,082.40 and 563.72 is: 777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.16 : 1,082.40 = 563.72 : x
  2. Step 2: Convert to fraction form
    785.16/1,082.40 = 563.72/x
  3. Step 3: Cross multiply
    785.16x = 1,082.40 × 563.72
  4. Step 4: Simplify right side
    785.16x = 610,170.53
  5. Step 5: Solve for x
    x = 610,170.53/785.16
  6. Step 6: Final answer
    x = 777.13

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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.