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Finding the Fourth Proportional to 707.50, 976.42 and 445.47

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Solution

The fourth proportional to 707.50, 976.42 and 445.47 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.50 : 976.42 = 445.47 : x
  2. Step 2: Convert to fraction form
    707.50/976.42 = 445.47/x
  3. Step 3: Cross multiply
    707.50x = 976.42 × 445.47
  4. Step 4: Simplify right side
    707.50x = 434,965.82
  5. Step 5: Solve for x
    x = 434,965.82/707.50
  6. Step 6: Final answer
    x = 614.79

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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.