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Finding the Fourth Proportional to 717.78, 1,074.93 and 497.82

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Solution

The fourth proportional to 717.78, 1,074.93 and 497.82 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.78 : 1,074.93 = 497.82 : x
  2. Step 2: Convert to fraction form
    717.78/1,074.93 = 497.82/x
  3. Step 3: Cross multiply
    717.78x = 1,074.93 × 497.82
  4. Step 4: Simplify right side
    717.78x = 535,121.65
  5. Step 5: Solve for x
    x = 535,121.65/717.78
  6. Step 6: Final answer
    x = 745.52

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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.