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Finding the Fourth Proportional to 707.58, 976.59 and 397.08

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Solution

The fourth proportional to 707.58, 976.59 and 397.08 is: 548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.58 : 976.59 = 397.08 : x
  2. Step 2: Convert to fraction form
    707.58/976.59 = 397.08/x
  3. Step 3: Cross multiply
    707.58x = 976.59 × 397.08
  4. Step 4: Simplify right side
    707.58x = 387,784.36
  5. Step 5: Solve for x
    x = 387,784.36/707.58
  6. Step 6: Final answer
    x = 548.04

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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.