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Finding the Fourth Proportional to 785.70, 1,082.16 and 680.40

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Solution

The fourth proportional to 785.70, 1,082.16 and 680.40 is: 937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.70 : 1,082.16 = 680.40 : x
  2. Step 2: Convert to fraction form
    785.70/1,082.16 = 680.40/x
  3. Step 3: Cross multiply
    785.70x = 1,082.16 × 680.40
  4. Step 4: Simplify right side
    785.70x = 736,301.66
  5. Step 5: Solve for x
    x = 736,301.66/785.70
  6. Step 6: Final answer
    x = 937.13

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1.5x scale

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.