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Finding the Fourth Proportional to 393.93, 587.79 and 353.07

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Solution

The fourth proportional to 393.93, 587.79 and 353.07 is: 526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.93 : 587.79 = 353.07 : x
  2. Step 2: Convert to fraction form
    393.93/587.79 = 353.07/x
  3. Step 3: Cross multiply
    393.93x = 587.79 × 353.07
  4. Step 4: Simplify right side
    393.93x = 207,531.02
  5. Step 5: Solve for x
    x = 207,531.02/393.93
  6. Step 6: Final answer
    x = 526.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.