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Finding the Fourth Proportional to 707.72, 976.65 and 445.89

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Solution

The fourth proportional to 707.72, 976.65 and 445.89 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.72 : 976.65 = 445.89 : x
  2. Step 2: Convert to fraction form
    707.72/976.65 = 445.89/x
  3. Step 3: Cross multiply
    707.72x = 976.65 × 445.89
  4. Step 4: Simplify right side
    707.72x = 435,478.47
  5. Step 5: Solve for x
    x = 435,478.47/707.72
  6. Step 6: Final answer
    x = 615.33

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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.