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Finding the Fourth Proportional to 708.80, 978.20 and 414.06

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Solution

The fourth proportional to 708.80, 978.20 and 414.06 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.80 : 978.20 = 414.06 : x
  2. Step 2: Convert to fraction form
    708.80/978.20 = 414.06/x
  3. Step 3: Cross multiply
    708.80x = 978.20 × 414.06
  4. Step 4: Simplify right side
    708.80x = 405,031.42
  5. Step 5: Solve for x
    x = 405,031.42/708.80
  6. Step 6: Final answer
    x = 571.44

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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.