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Finding the Fourth Proportional to 1,114.65, 1,537.73 and 672.30

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Solution

The fourth proportional to 1,114.65, 1,537.73 and 672.30 is: 927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.65 : 1,537.73 = 672.30 : x
  2. Step 2: Convert to fraction form
    1,114.65/1,537.73 = 672.30/x
  3. Step 3: Cross multiply
    1,114.65x = 1,537.73 × 672.30
  4. Step 4: Simplify right side
    1,114.65x = 1,033,815.88
  5. Step 5: Solve for x
    x = 1,033,815.88/1,114.65
  6. Step 6: Final answer
    x = 927.48

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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.