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Finding the Fourth Proportional to 1,065.19, 1,469.64 and 672.34

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Solution

The fourth proportional to 1,065.19, 1,469.64 and 672.34 is: 927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.19 : 1,469.64 = 672.34 : x
  2. Step 2: Convert to fraction form
    1,065.19/1,469.64 = 672.34/x
  3. Step 3: Cross multiply
    1,065.19x = 1,469.64 × 672.34
  4. Step 4: Simplify right side
    1,065.19x = 988,097.76
  5. Step 5: Solve for x
    x = 988,097.76/1,065.19
  6. Step 6: Final answer
    x = 927.63

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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.