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Finding the Fourth Proportional to 595.92, 821.16 and 385.86

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Solution

The fourth proportional to 595.92, 821.16 and 385.86 is: 531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.92 : 821.16 = 385.86 : x
  2. Step 2: Convert to fraction form
    595.92/821.16 = 385.86/x
  3. Step 3: Cross multiply
    595.92x = 821.16 × 385.86
  4. Step 4: Simplify right side
    595.92x = 316,852.80
  5. Step 5: Solve for x
    x = 316,852.80/595.92
  6. Step 6: Final answer
    x = 531.70

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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.