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Finding the Fourth Proportional to 707.65, 976.80 and 487.33

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Solution

The fourth proportional to 707.65, 976.80 and 487.33 is: 672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.65 : 976.80 = 487.33 : x
  2. Step 2: Convert to fraction form
    707.65/976.80 = 487.33/x
  3. Step 3: Cross multiply
    707.65x = 976.80 × 487.33
  4. Step 4: Simplify right side
    707.65x = 476,023.94
  5. Step 5: Solve for x
    x = 476,023.94/707.65
  6. Step 6: Final answer
    x = 672.68

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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.