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Finding the Fourth Proportional to 707.26, 976.02 and 392.53

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Solution

The fourth proportional to 707.26, 976.02 and 392.53 is: 541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.26 : 976.02 = 392.53 : x
  2. Step 2: Convert to fraction form
    707.26/976.02 = 392.53/x
  3. Step 3: Cross multiply
    707.26x = 976.02 × 392.53
  4. Step 4: Simplify right side
    707.26x = 383,110.29
  5. Step 5: Solve for x
    x = 383,110.29/707.26
  6. Step 6: Final answer
    x = 541.69

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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.