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Finding the Fourth Proportional to 707.74, 976.63 and 392.98

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Solution

The fourth proportional to 707.74, 976.63 and 392.98 is: 542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.74 : 976.63 = 392.98 : x
  2. Step 2: Convert to fraction form
    707.74/976.63 = 392.98/x
  3. Step 3: Cross multiply
    707.74x = 976.63 × 392.98
  4. Step 4: Simplify right side
    707.74x = 383,793.56
  5. Step 5: Solve for x
    x = 383,793.56/707.74
  6. Step 6: Final answer
    x = 542.28

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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.