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Finding the Fourth Proportional to 1,138.40, 1,570.42 and 672.65

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Solution

The fourth proportional to 1,138.40, 1,570.42 and 672.65 is: 927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.40 : 1,570.42 = 672.65 : x
  2. Step 2: Convert to fraction form
    1,138.40/1,570.42 = 672.65/x
  3. Step 3: Cross multiply
    1,138.40x = 1,570.42 × 672.65
  4. Step 4: Simplify right side
    1,138.40x = 1,056,343.01
  5. Step 5: Solve for x
    x = 1,056,343.01/1,138.40
  6. Step 6: Final answer
    x = 927.92

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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.