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Finding the Fourth Proportional to 445.52, 665.24 and 398.95

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Solution

The fourth proportional to 445.52, 665.24 and 398.95 is: 595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.52 : 665.24 = 398.95 : x
  2. Step 2: Convert to fraction form
    445.52/665.24 = 398.95/x
  3. Step 3: Cross multiply
    445.52x = 665.24 × 398.95
  4. Step 4: Simplify right side
    445.52x = 265,396.08
  5. Step 5: Solve for x
    x = 265,396.08/445.52
  6. Step 6: Final answer
    x = 595.70

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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.