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Finding the Fourth Proportional to 816.57, 1,124.49 and 698.11

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Solution

The fourth proportional to 816.57, 1,124.49 and 698.11 is: 961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.57 : 1,124.49 = 698.11 : x
  2. Step 2: Convert to fraction form
    816.57/1,124.49 = 698.11/x
  3. Step 3: Cross multiply
    816.57x = 1,124.49 × 698.11
  4. Step 4: Simplify right side
    816.57x = 785,017.71
  5. Step 5: Solve for x
    x = 785,017.71/816.57
  6. Step 6: Final answer
    x = 961.36

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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.