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Finding the Fourth Proportional to 515.00, 772.57 and 149.74

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Solution

The fourth proportional to 515.00, 772.57 and 149.74 is: 224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.00 : 772.57 = 149.74 : x
  2. Step 2: Convert to fraction form
    515.00/772.57 = 149.74/x
  3. Step 3: Cross multiply
    515.00x = 772.57 × 149.74
  4. Step 4: Simplify right side
    515.00x = 115,680.77
  5. Step 5: Solve for x
    x = 115,680.77/515.00
  6. Step 6: Final answer
    x = 224.63

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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.