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Finding the Fourth Proportional to 565.89, 780.90 and 333

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Solution

The fourth proportional to 565.89, 780.90 and 333 is: 459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 780.90 = 333 : x
  2. Step 2: Convert to fraction form
    565.89/780.90 = 333/x
  3. Step 3: Cross multiply
    565.89x = 780.90 × 333
  4. Step 4: Simplify right side
    565.89x = 260,039.70
  5. Step 5: Solve for x
    x = 260,039.70/565.89
  6. Step 6: Final answer
    x = 459.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.