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Finding the Fourth Proportional to 707.85, 976.89 and 393.15

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Solution

The fourth proportional to 707.85, 976.89 and 393.15 is: 542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.85 : 976.89 = 393.15 : x
  2. Step 2: Convert to fraction form
    707.85/976.89 = 393.15/x
  3. Step 3: Cross multiply
    707.85x = 976.89 × 393.15
  4. Step 4: Simplify right side
    707.85x = 384,059.42
  5. Step 5: Solve for x
    x = 384,059.42/707.85
  6. Step 6: Final answer
    x = 542.58

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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.