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Finding the Fourth Proportional to 707.75, 1,061.78 and 214.19

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Solution

The fourth proportional to 707.75, 1,061.78 and 214.19 is: 321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.75 : 1,061.78 = 214.19 : x
  2. Step 2: Convert to fraction form
    707.75/1,061.78 = 214.19/x
  3. Step 3: Cross multiply
    707.75x = 1,061.78 × 214.19
  4. Step 4: Simplify right side
    707.75x = 227,426.23
  5. Step 5: Solve for x
    x = 227,426.23/707.75
  6. Step 6: Final answer
    x = 321.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.