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Finding the Fourth Proportional to 584.80, 806.40 and 377.76

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Solution

The fourth proportional to 584.80, 806.40 and 377.76 is: 520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.80 : 806.40 = 377.76 : x
  2. Step 2: Convert to fraction form
    584.80/806.40 = 377.76/x
  3. Step 3: Cross multiply
    584.80x = 806.40 × 377.76
  4. Step 4: Simplify right side
    584.80x = 304,625.66
  5. Step 5: Solve for x
    x = 304,625.66/584.80
  6. Step 6: Final answer
    x = 520.91

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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.