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Finding the Fourth Proportional to 707.35, 976.13 and 392.65

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Solution

The fourth proportional to 707.35, 976.13 and 392.65 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.35 : 976.13 = 392.65 : x
  2. Step 2: Convert to fraction form
    707.35/976.13 = 392.65/x
  3. Step 3: Cross multiply
    707.35x = 976.13 × 392.65
  4. Step 4: Simplify right side
    707.35x = 383,277.44
  5. Step 5: Solve for x
    x = 383,277.44/707.35
  6. Step 6: Final answer
    x = 541.85

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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.