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Finding the Fourth Proportional to 709.95, 979.53 and 411.18

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Solution

The fourth proportional to 709.95, 979.53 and 411.18 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.95 : 979.53 = 411.18 : x
  2. Step 2: Convert to fraction form
    709.95/979.53 = 411.18/x
  3. Step 3: Cross multiply
    709.95x = 979.53 × 411.18
  4. Step 4: Simplify right side
    709.95x = 402,763.15
  5. Step 5: Solve for x
    x = 402,763.15/709.95
  6. Step 6: Final answer
    x = 567.31

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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.