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Finding the Fourth Proportional to 781.79, 1,079.16 and 573.04

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Solution

The fourth proportional to 781.79, 1,079.16 and 573.04 is: 791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.79 : 1,079.16 = 573.04 : x
  2. Step 2: Convert to fraction form
    781.79/1,079.16 = 573.04/x
  3. Step 3: Cross multiply
    781.79x = 1,079.16 × 573.04
  4. Step 4: Simplify right side
    781.79x = 618,401.05
  5. Step 5: Solve for x
    x = 618,401.05/781.79
  6. Step 6: Final answer
    x = 791.01

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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.