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Finding the Fourth Proportional to 709.40, 978.74 and 414.48

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Solution

The fourth proportional to 709.40, 978.74 and 414.48 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 978.74 = 414.48 : x
  2. Step 2: Convert to fraction form
    709.40/978.74 = 414.48/x
  3. Step 3: Cross multiply
    709.40x = 978.74 × 414.48
  4. Step 4: Simplify right side
    709.40x = 405,668.16
  5. Step 5: Solve for x
    x = 405,668.16/709.40
  6. Step 6: Final answer
    x = 571.85

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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.