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Finding the Fourth Proportional to 515.83, 772.18 and 333.35

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Solution

The fourth proportional to 515.83, 772.18 and 333.35 is: 499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.83 : 772.18 = 333.35 : x
  2. Step 2: Convert to fraction form
    515.83/772.18 = 333.35/x
  3. Step 3: Cross multiply
    515.83x = 772.18 × 333.35
  4. Step 4: Simplify right side
    515.83x = 257,406.20
  5. Step 5: Solve for x
    x = 257,406.20/515.83
  6. Step 6: Final answer
    x = 499.01

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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.