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Finding the Fourth Proportional to 709.19, 978.83 and 447.15

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Solution

The fourth proportional to 709.19, 978.83 and 447.15 is: 617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.19 : 978.83 = 447.15 : x
  2. Step 2: Convert to fraction form
    709.19/978.83 = 447.15/x
  3. Step 3: Cross multiply
    709.19x = 978.83 × 447.15
  4. Step 4: Simplify right side
    709.19x = 437,689.46
  5. Step 5: Solve for x
    x = 437,689.46/709.19
  6. Step 6: Final answer
    x = 617.17

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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.