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Finding the Fourth Proportional to 967.38, 1,333.74 and 790.17

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Solution

The fourth proportional to 967.38, 1,333.74 and 790.17 is: 1,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.38 : 1,333.74 = 790.17 : x
  2. Step 2: Convert to fraction form
    967.38/1,333.74 = 790.17/x
  3. Step 3: Cross multiply
    967.38x = 1,333.74 × 790.17
  4. Step 4: Simplify right side
    967.38x = 1,053,881.34
  5. Step 5: Solve for x
    x = 1,053,881.34/967.38
  6. Step 6: Final answer
    x = 1,089.42

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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.