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Finding the Fourth Proportional to 709.85, 979.43 and 411.11

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Solution

The fourth proportional to 709.85, 979.43 and 411.11 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.85 : 979.43 = 411.11 : x
  2. Step 2: Convert to fraction form
    709.85/979.43 = 411.11/x
  3. Step 3: Cross multiply
    709.85x = 979.43 × 411.11
  4. Step 4: Simplify right side
    709.85x = 402,650.19
  5. Step 5: Solve for x
    x = 402,650.19/709.85
  6. Step 6: Final answer
    x = 567.24

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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.