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Finding the Fourth Proportional to 709.14, 978.64 and 414.40

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Solution

The fourth proportional to 709.14, 978.64 and 414.40 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.14 : 978.64 = 414.40 : x
  2. Step 2: Convert to fraction form
    709.14/978.64 = 414.40/x
  3. Step 3: Cross multiply
    709.14x = 978.64 × 414.40
  4. Step 4: Simplify right side
    709.14x = 405,548.42
  5. Step 5: Solve for x
    x = 405,548.42/709.14
  6. Step 6: Final answer
    x = 571.89

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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.