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Finding the Fourth Proportional to 582.38, 873.80 and 308.66

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Solution

The fourth proportional to 582.38, 873.80 and 308.66 is: 463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.38 : 873.80 = 308.66 : x
  2. Step 2: Convert to fraction form
    582.38/873.80 = 308.66/x
  3. Step 3: Cross multiply
    582.38x = 873.80 × 308.66
  4. Step 4: Simplify right side
    582.38x = 269,707.11
  5. Step 5: Solve for x
    x = 269,707.11/582.38
  6. Step 6: Final answer
    x = 463.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.