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Finding the Fourth Proportional to 817.85, 1,129.09 and 630.94

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Solution

The fourth proportional to 817.85, 1,129.09 and 630.94 is: 871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.85 : 1,129.09 = 630.94 : x
  2. Step 2: Convert to fraction form
    817.85/1,129.09 = 630.94/x
  3. Step 3: Cross multiply
    817.85x = 1,129.09 × 630.94
  4. Step 4: Simplify right side
    817.85x = 712,386.94
  5. Step 5: Solve for x
    x = 712,386.94/817.85
  6. Step 6: Final answer
    x = 871.05

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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.