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Finding the Fourth Proportional to 595.74, 821.91 and 388.38

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Solution

The fourth proportional to 595.74, 821.91 and 388.38 is: 535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.74 : 821.91 = 388.38 : x
  2. Step 2: Convert to fraction form
    595.74/821.91 = 388.38/x
  3. Step 3: Cross multiply
    595.74x = 821.91 × 388.38
  4. Step 4: Simplify right side
    595.74x = 319,213.41
  5. Step 5: Solve for x
    x = 319,213.41/595.74
  6. Step 6: Final answer
    x = 535.83

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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.