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Finding the Fourth Proportional to 708.65, 978.06 and 414.08

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Solution

The fourth proportional to 708.65, 978.06 and 414.08 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.65 : 978.06 = 414.08 : x
  2. Step 2: Convert to fraction form
    708.65/978.06 = 414.08/x
  3. Step 3: Cross multiply
    708.65x = 978.06 × 414.08
  4. Step 4: Simplify right side
    708.65x = 404,988.12
  5. Step 5: Solve for x
    x = 404,988.12/708.65
  6. Step 6: Final answer
    x = 571.50

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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.