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Finding the Fourth Proportional to 707.48, 976.91 and 459.23

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Solution

The fourth proportional to 707.48, 976.91 and 459.23 is: 634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 976.91 = 459.23 : x
  2. Step 2: Convert to fraction form
    707.48/976.91 = 459.23/x
  3. Step 3: Cross multiply
    707.48x = 976.91 × 459.23
  4. Step 4: Simplify right side
    707.48x = 448,619.20
  5. Step 5: Solve for x
    x = 448,619.20/707.48
  6. Step 6: Final answer
    x = 634.11

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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.