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Finding the Fourth Proportional to 707.43, 1,061.18 and 447.64

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Solution

The fourth proportional to 707.43, 1,061.18 and 447.64 is: 671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.43 : 1,061.18 = 447.64 : x
  2. Step 2: Convert to fraction form
    707.43/1,061.18 = 447.64/x
  3. Step 3: Cross multiply
    707.43x = 1,061.18 × 447.64
  4. Step 4: Simplify right side
    707.43x = 475,026.62
  5. Step 5: Solve for x
    x = 475,026.62/707.43
  6. Step 6: Final answer
    x = 671.48

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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.