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Finding the Fourth Proportional to 707.48, 976.25 and 408.64

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Solution

The fourth proportional to 707.48, 976.25 and 408.64 is: 563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 976.25 = 408.64 : x
  2. Step 2: Convert to fraction form
    707.48/976.25 = 408.64/x
  3. Step 3: Cross multiply
    707.48x = 976.25 × 408.64
  4. Step 4: Simplify right side
    707.48x = 398,927.88
  5. Step 5: Solve for x
    x = 398,927.88/707.48
  6. Step 6: Final answer
    x = 563.87

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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.