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Finding the Fourth Proportional to 595.42, 820.94 and 385.24

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Solution

The fourth proportional to 595.42, 820.94 and 385.24 is: 531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.42 : 820.94 = 385.24 : x
  2. Step 2: Convert to fraction form
    595.42/820.94 = 385.24/x
  3. Step 3: Cross multiply
    595.42x = 820.94 × 385.24
  4. Step 4: Simplify right side
    595.42x = 316,258.93
  5. Step 5: Solve for x
    x = 316,258.93/595.42
  6. Step 6: Final answer
    x = 531.15

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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.