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Finding the Fourth Proportional to 785.72, 1,080.42 and 698.24

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Solution

The fourth proportional to 785.72, 1,080.42 and 698.24 is: 960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.72 : 1,080.42 = 698.24 : x
  2. Step 2: Convert to fraction form
    785.72/1,080.42 = 698.24/x
  3. Step 3: Cross multiply
    785.72x = 1,080.42 × 698.24
  4. Step 4: Simplify right side
    785.72x = 754,392.46
  5. Step 5: Solve for x
    x = 754,392.46/785.72
  6. Step 6: Final answer
    x = 960.13

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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.