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Finding the Fourth Proportional to 586.97, 810.15 and 338.43

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Solution

The fourth proportional to 586.97, 810.15 and 338.43 is: 467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.97 : 810.15 = 338.43 : x
  2. Step 2: Convert to fraction form
    586.97/810.15 = 338.43/x
  3. Step 3: Cross multiply
    586.97x = 810.15 × 338.43
  4. Step 4: Simplify right side
    586.97x = 274,179.06
  5. Step 5: Solve for x
    x = 274,179.06/586.97
  6. Step 6: Final answer
    x = 467.11

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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.