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Finding the Fourth Proportional to 1,658.26, 2,486.86 and 547.47

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Solution

The fourth proportional to 1,658.26, 2,486.86 and 547.47 is: 821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.26 : 2,486.86 = 547.47 : x
  2. Step 2: Convert to fraction form
    1,658.26/2,486.86 = 547.47/x
  3. Step 3: Cross multiply
    1,658.26x = 2,486.86 × 547.47
  4. Step 4: Simplify right side
    1,658.26x = 1,361,467.92
  5. Step 5: Solve for x
    x = 1,361,467.92/1,658.26
  6. Step 6: Final answer
    x = 821.02

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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.