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Finding the Fourth Proportional to 783.17, 1,175.33 and 630.94

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Solution

The fourth proportional to 783.17, 1,175.33 and 630.94 is: 946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.17 : 1,175.33 = 630.94 : x
  2. Step 2: Convert to fraction form
    783.17/1,175.33 = 630.94/x
  3. Step 3: Cross multiply
    783.17x = 1,175.33 × 630.94
  4. Step 4: Simplify right side
    783.17x = 741,556.62
  5. Step 5: Solve for x
    x = 741,556.62/783.17
  6. Step 6: Final answer
    x = 946.86

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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.