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Finding the Fourth Proportional to 709.40, 978.50 and 414.47

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Solution

The fourth proportional to 709.40, 978.50 and 414.47 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 978.50 = 414.47 : x
  2. Step 2: Convert to fraction form
    709.40/978.50 = 414.47/x
  3. Step 3: Cross multiply
    709.40x = 978.50 × 414.47
  4. Step 4: Simplify right side
    709.40x = 405,562.38
  5. Step 5: Solve for x
    x = 405,562.38/709.40
  6. Step 6: Final answer
    x = 571.70

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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.