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Finding the Fourth Proportional to 584.30, 803.95 and 479

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Solution

The fourth proportional to 584.30, 803.95 and 479 is: 659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.30 : 803.95 = 479 : x
  2. Step 2: Convert to fraction form
    584.30/803.95 = 479/x
  3. Step 3: Cross multiply
    584.30x = 803.95 × 479
  4. Step 4: Simplify right side
    584.30x = 385,092.05
  5. Step 5: Solve for x
    x = 385,092.05/584.30
  6. Step 6: Final answer
    x = 659.07

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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.