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Finding the Fourth Proportional to 1,580.63, 2,182.07 and 991.76

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Solution

The fourth proportional to 1,580.63, 2,182.07 and 991.76 is: 1,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.63 : 2,182.07 = 991.76 : x
  2. Step 2: Convert to fraction form
    1,580.63/2,182.07 = 991.76/x
  3. Step 3: Cross multiply
    1,580.63x = 2,182.07 × 991.76
  4. Step 4: Simplify right side
    1,580.63x = 2,164,081.31
  5. Step 5: Solve for x
    x = 2,164,081.31/1,580.63
  6. Step 6: Final answer
    x = 1,369.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.