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Finding the Fourth Proportional to 727.24, 1,002.41 and 569.61

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Solution

The fourth proportional to 727.24, 1,002.41 and 569.61 is: 785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.24 : 1,002.41 = 569.61 : x
  2. Step 2: Convert to fraction form
    727.24/1,002.41 = 569.61/x
  3. Step 3: Cross multiply
    727.24x = 1,002.41 × 569.61
  4. Step 4: Simplify right side
    727.24x = 570,982.76
  5. Step 5: Solve for x
    x = 570,982.76/727.24
  6. Step 6: Final answer
    x = 785.14

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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.