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Finding the Fourth Proportional to 584.80, 807.11 and 336.18

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Solution

The fourth proportional to 584.80, 807.11 and 336.18 is: 463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.80 : 807.11 = 336.18 : x
  2. Step 2: Convert to fraction form
    584.80/807.11 = 336.18/x
  3. Step 3: Cross multiply
    584.80x = 807.11 × 336.18
  4. Step 4: Simplify right side
    584.80x = 271,338.74
  5. Step 5: Solve for x
    x = 271,338.74/584.80
  6. Step 6: Final answer
    x = 463.98

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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.