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Finding the Fourth Proportional to 784.34, 1,175.72 and 638.38

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Solution

The fourth proportional to 784.34, 1,175.72 and 638.38 is: 956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.34 : 1,175.72 = 638.38 : x
  2. Step 2: Convert to fraction form
    784.34/1,175.72 = 638.38/x
  3. Step 3: Cross multiply
    784.34x = 1,175.72 × 638.38
  4. Step 4: Simplify right side
    784.34x = 750,556.13
  5. Step 5: Solve for x
    x = 750,556.13/784.34
  6. Step 6: Final answer
    x = 956.93

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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.