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Finding the Fourth Proportional to 1,538.22, 2,307.97 and 660.91

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Solution

The fourth proportional to 1,538.22, 2,307.97 and 660.91 is: 991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.22 : 2,307.97 = 660.91 : x
  2. Step 2: Convert to fraction form
    1,538.22/2,307.97 = 660.91/x
  3. Step 3: Cross multiply
    1,538.22x = 2,307.97 × 660.91
  4. Step 4: Simplify right side
    1,538.22x = 1,525,357.98
  5. Step 5: Solve for x
    x = 1,525,357.98/1,538.22
  6. Step 6: Final answer
    x = 991.64

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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.