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Finding the Fourth Proportional to 707.80, 976.76 and 397.30

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Solution

The fourth proportional to 707.80, 976.76 and 397.30 is: 548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.80 : 976.76 = 397.30 : x
  2. Step 2: Convert to fraction form
    707.80/976.76 = 397.30/x
  3. Step 3: Cross multiply
    707.80x = 976.76 × 397.30
  4. Step 4: Simplify right side
    707.80x = 388,066.75
  5. Step 5: Solve for x
    x = 388,066.75/707.80
  6. Step 6: Final answer
    x = 548.27

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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.