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Finding the Fourth Proportional to 868.61, 1,303.42 and 522.61

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Solution

The fourth proportional to 868.61, 1,303.42 and 522.61 is: 784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.61 : 1,303.42 = 522.61 : x
  2. Step 2: Convert to fraction form
    868.61/1,303.42 = 522.61/x
  3. Step 3: Cross multiply
    868.61x = 1,303.42 × 522.61
  4. Step 4: Simplify right side
    868.61x = 681,180.33
  5. Step 5: Solve for x
    x = 681,180.33/868.61
  6. Step 6: Final answer
    x = 784.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.