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Finding the Fourth Proportional to 1,538.70, 2,309.49 and 661.74

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Solution

The fourth proportional to 1,538.70, 2,309.49 and 661.74 is: 993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.70 : 2,309.49 = 661.74 : x
  2. Step 2: Convert to fraction form
    1,538.70/2,309.49 = 661.74/x
  3. Step 3: Cross multiply
    1,538.70x = 2,309.49 × 661.74
  4. Step 4: Simplify right side
    1,538.70x = 1,528,281.91
  5. Step 5: Solve for x
    x = 1,528,281.91/1,538.70
  6. Step 6: Final answer
    x = 993.23

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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.