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Finding the Fourth Proportional to 785.79, 1,082.91 and 564.36

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Solution

The fourth proportional to 785.79, 1,082.91 and 564.36 is: 777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.79 : 1,082.91 = 564.36 : x
  2. Step 2: Convert to fraction form
    785.79/1,082.91 = 564.36/x
  3. Step 3: Cross multiply
    785.79x = 1,082.91 × 564.36
  4. Step 4: Simplify right side
    785.79x = 611,151.09
  5. Step 5: Solve for x
    x = 611,151.09/785.79
  6. Step 6: Final answer
    x = 777.75

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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.