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Finding the Fourth Proportional to 594.97, 820.88 and 385.15

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Solution

The fourth proportional to 594.97, 820.88 and 385.15 is: 531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.97 : 820.88 = 385.15 : x
  2. Step 2: Convert to fraction form
    594.97/820.88 = 385.15/x
  3. Step 3: Cross multiply
    594.97x = 820.88 × 385.15
  4. Step 4: Simplify right side
    594.97x = 316,155.90
  5. Step 5: Solve for x
    x = 316,155.90/594.97
  6. Step 6: Final answer
    x = 531.39

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1.5x scale

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.