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Finding the Fourth Proportional to 599.78, 898.55 and 521.82

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Solution

The fourth proportional to 599.78, 898.55 and 521.82 is: 781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 898.55 = 521.82 : x
  2. Step 2: Convert to fraction form
    599.78/898.55 = 521.82/x
  3. Step 3: Cross multiply
    599.78x = 898.55 × 521.82
  4. Step 4: Simplify right side
    599.78x = 468,878.75
  5. Step 5: Solve for x
    x = 468,878.75/599.78
  6. Step 6: Final answer
    x = 781.76

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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.