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Finding the Fourth Proportional to 573.19, 788.94 and 478.87

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Solution

The fourth proportional to 573.19, 788.94 and 478.87 is: 659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 788.94 = 478.87 : x
  2. Step 2: Convert to fraction form
    573.19/788.94 = 478.87/x
  3. Step 3: Cross multiply
    573.19x = 788.94 × 478.87
  4. Step 4: Simplify right side
    573.19x = 377,799.70
  5. Step 5: Solve for x
    x = 377,799.70/573.19
  6. Step 6: Final answer
    x = 659.12

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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.