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Finding the Fourth Proportional to 701.86, 1,053.69 and 496.54

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Solution

The fourth proportional to 701.86, 1,053.69 and 496.54 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.86 : 1,053.69 = 496.54 : x
  2. Step 2: Convert to fraction form
    701.86/1,053.69 = 496.54/x
  3. Step 3: Cross multiply
    701.86x = 1,053.69 × 496.54
  4. Step 4: Simplify right side
    701.86x = 523,199.23
  5. Step 5: Solve for x
    x = 523,199.23/701.86
  6. Step 6: Final answer
    x = 745.45

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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.