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Finding the Fourth Proportional to 709.48, 978.93 and 414.69

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Solution

The fourth proportional to 709.48, 978.93 and 414.69 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.48 : 978.93 = 414.69 : x
  2. Step 2: Convert to fraction form
    709.48/978.93 = 414.69/x
  3. Step 3: Cross multiply
    709.48x = 978.93 × 414.69
  4. Step 4: Simplify right side
    709.48x = 405,952.73
  5. Step 5: Solve for x
    x = 405,952.73/709.48
  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.