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Finding the Fourth Proportional to 3,058.90, 4,588.48 and 979.20

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Solution

The fourth proportional to 3,058.90, 4,588.48 and 979.20 is: 1,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.90 : 4,588.48 = 979.20 : x
  2. Step 2: Convert to fraction form
    3,058.90/4,588.48 = 979.20/x
  3. Step 3: Cross multiply
    3,058.90x = 4,588.48 × 979.20
  4. Step 4: Simplify right side
    3,058.90x = 4,493,034.72
  5. Step 5: Solve for x
    x = 4,493,034.72/3,058.90
  6. Step 6: Final answer
    x = 1,468.84

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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.