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Finding the Fourth Proportional to 1,658.58, 2,486.82 and 547.60

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Solution

The fourth proportional to 1,658.58, 2,486.82 and 547.60 is: 821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.58 : 2,486.82 = 547.60 : x
  2. Step 2: Convert to fraction form
    1,658.58/2,486.82 = 547.60/x
  3. Step 3: Cross multiply
    1,658.58x = 2,486.82 × 547.60
  4. Step 4: Simplify right side
    1,658.58x = 1,361,782.63
  5. Step 5: Solve for x
    x = 1,361,782.63/1,658.58
  6. Step 6: Final answer
    x = 821.05

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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.