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Finding the Fourth Proportional to 991.29, 1,486.87 and 260.87

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Solution

The fourth proportional to 991.29, 1,486.87 and 260.87 is: 391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.29 : 1,486.87 = 260.87 : x
  2. Step 2: Convert to fraction form
    991.29/1,486.87 = 260.87/x
  3. Step 3: Cross multiply
    991.29x = 1,486.87 × 260.87
  4. Step 4: Simplify right side
    991.29x = 387,879.78
  5. Step 5: Solve for x
    x = 387,879.78/991.29
  6. Step 6: Final answer
    x = 391.29

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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.