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Finding the Fourth Proportional to 707.71, 1,061.57 and 214.12

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Solution

The fourth proportional to 707.71, 1,061.57 and 214.12 is: 321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.71 : 1,061.57 = 214.12 : x
  2. Step 2: Convert to fraction form
    707.71/1,061.57 = 214.12/x
  3. Step 3: Cross multiply
    707.71x = 1,061.57 × 214.12
  4. Step 4: Simplify right side
    707.71x = 227,301.64
  5. Step 5: Solve for x
    x = 227,301.64/707.71
  6. Step 6: Final answer
    x = 321.18

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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.