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Finding the Fourth Proportional to 785.89, 1,082.05 and 712.99

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Solution

The fourth proportional to 785.89, 1,082.05 and 712.99 is: 981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.89 : 1,082.05 = 712.99 : x
  2. Step 2: Convert to fraction form
    785.89/1,082.05 = 712.99/x
  3. Step 3: Cross multiply
    785.89x = 1,082.05 × 712.99
  4. Step 4: Simplify right side
    785.89x = 771,490.83
  5. Step 5: Solve for x
    x = 771,490.83/785.89
  6. Step 6: Final answer
    x = 981.68

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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.