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Finding the Fourth Proportional to 554.87, 830.99 and 514.78

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Solution

The fourth proportional to 554.87, 830.99 and 514.78 is: 770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.87 : 830.99 = 514.78 : x
  2. Step 2: Convert to fraction form
    554.87/830.99 = 514.78/x
  3. Step 3: Cross multiply
    554.87x = 830.99 × 514.78
  4. Step 4: Simplify right side
    554.87x = 427,776.24
  5. Step 5: Solve for x
    x = 427,776.24/554.87
  6. Step 6: Final answer
    x = 770.95

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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.