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Finding the Fourth Proportional to 709.45, 978.98 and 414.65

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Solution

The fourth proportional to 709.45, 978.98 and 414.65 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.45 : 978.98 = 414.65 : x
  2. Step 2: Convert to fraction form
    709.45/978.98 = 414.65/x
  3. Step 3: Cross multiply
    709.45x = 978.98 × 414.65
  4. Step 4: Simplify right side
    709.45x = 405,934.06
  5. Step 5: Solve for x
    x = 405,934.06/709.45
  6. Step 6: Final answer
    x = 572.18

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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.