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Finding the Fourth Proportional to 781.10, 1,078.05 and 594.29

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Solution

The fourth proportional to 781.10, 1,078.05 and 594.29 is: 820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.10 : 1,078.05 = 594.29 : x
  2. Step 2: Convert to fraction form
    781.10/1,078.05 = 594.29/x
  3. Step 3: Cross multiply
    781.10x = 1,078.05 × 594.29
  4. Step 4: Simplify right side
    781.10x = 640,674.33
  5. Step 5: Solve for x
    x = 640,674.33/781.10
  6. Step 6: Final answer
    x = 820.22

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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.