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Finding the Fourth Proportional to 598.32, 896.94 and 415.80

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Solution

The fourth proportional to 598.32, 896.94 and 415.80 is: 623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 896.94 = 415.80 : x
  2. Step 2: Convert to fraction form
    598.32/896.94 = 415.80/x
  3. Step 3: Cross multiply
    598.32x = 896.94 × 415.80
  4. Step 4: Simplify right side
    598.32x = 372,947.65
  5. Step 5: Solve for x
    x = 372,947.65/598.32
  6. Step 6: Final answer
    x = 623.32

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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.