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Finding the Fourth Proportional to 1,085.61, 1,627.78 and 529.23

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Solution

The fourth proportional to 1,085.61, 1,627.78 and 529.23 is: 793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.61 : 1,627.78 = 529.23 : x
  2. Step 2: Convert to fraction form
    1,085.61/1,627.78 = 529.23/x
  3. Step 3: Cross multiply
    1,085.61x = 1,627.78 × 529.23
  4. Step 4: Simplify right side
    1,085.61x = 861,472.76
  5. Step 5: Solve for x
    x = 861,472.76/1,085.61
  6. Step 6: Final answer
    x = 793.54

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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.