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Finding the Fourth Proportional to 925.53, 1,384.78 and 515

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Solution

The fourth proportional to 925.53, 1,384.78 and 515 is: 770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.53 : 1,384.78 = 515 : x
  2. Step 2: Convert to fraction form
    925.53/1,384.78 = 515/x
  3. Step 3: Cross multiply
    925.53x = 1,384.78 × 515
  4. Step 4: Simplify right side
    925.53x = 713,161.70
  5. Step 5: Solve for x
    x = 713,161.70/925.53
  6. Step 6: Final answer
    x = 770.54

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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.