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Finding the Fourth Proportional to 601.32, 900.92 and 418.83

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Solution

The fourth proportional to 601.32, 900.92 and 418.83 is: 627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.32 : 900.92 = 418.83 : x
  2. Step 2: Convert to fraction form
    601.32/900.92 = 418.83/x
  3. Step 3: Cross multiply
    601.32x = 900.92 × 418.83
  4. Step 4: Simplify right side
    601.32x = 377,330.23
  5. Step 5: Solve for x
    x = 377,330.23/601.32
  6. Step 6: Final answer
    x = 627.50

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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.