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Finding the Fourth Proportional to 582.95, 805.11 and 387.29

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Solution

The fourth proportional to 582.95, 805.11 and 387.29 is: 534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.95 : 805.11 = 387.29 : x
  2. Step 2: Convert to fraction form
    582.95/805.11 = 387.29/x
  3. Step 3: Cross multiply
    582.95x = 805.11 × 387.29
  4. Step 4: Simplify right side
    582.95x = 311,811.05
  5. Step 5: Solve for x
    x = 311,811.05/582.95
  6. Step 6: Final answer
    x = 534.88

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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.