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Finding the Fourth Proportional to 709, 978.58 and 414.20

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Solution

The fourth proportional to 709, 978.58 and 414.20 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 978.58 = 414.20 : x
  2. Step 2: Convert to fraction form
    709/978.58 = 414.20/x
  3. Step 3: Cross multiply
    709x = 978.58 × 414.20
  4. Step 4: Simplify right side
    709x = 405,327.84
  5. Step 5: Solve for x
    x = 405,327.84/709
  6. Step 6: Final answer
    x = 571.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.