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Finding the Fourth Proportional to 989.15, 1,482.57 and 519.35

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Solution

The fourth proportional to 989.15, 1,482.57 and 519.35 is: 778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.15 : 1,482.57 = 519.35 : x
  2. Step 2: Convert to fraction form
    989.15/1,482.57 = 519.35/x
  3. Step 3: Cross multiply
    989.15x = 1,482.57 × 519.35
  4. Step 4: Simplify right side
    989.15x = 769,965.32
  5. Step 5: Solve for x
    x = 769,965.32/989.15
  6. Step 6: Final answer
    x = 778.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.