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Finding the Fourth Proportional to 601.90, 898.48 and 529

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Solution

The fourth proportional to 601.90, 898.48 and 529 is: 789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 898.48 = 529 : x
  2. Step 2: Convert to fraction form
    601.90/898.48 = 529/x
  3. Step 3: Cross multiply
    601.90x = 898.48 × 529
  4. Step 4: Simplify right side
    601.90x = 475,295.92
  5. Step 5: Solve for x
    x = 475,295.92/601.90
  6. Step 6: Final answer
    x = 789.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.