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Finding the Fourth Proportional to 707.23, 975.69 and 408.42

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Solution

The fourth proportional to 707.23, 975.69 and 408.42 is: 563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.23 : 975.69 = 408.42 : x
  2. Step 2: Convert to fraction form
    707.23/975.69 = 408.42/x
  3. Step 3: Cross multiply
    707.23x = 975.69 × 408.42
  4. Step 4: Simplify right side
    707.23x = 398,489.53
  5. Step 5: Solve for x
    x = 398,489.53/707.23
  6. Step 6: Final answer
    x = 563.45

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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.