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Finding the Fourth Proportional to 623.28, 859.20 and 446.48

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Solution

The fourth proportional to 623.28, 859.20 and 446.48 is: 615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.28 : 859.20 = 446.48 : x
  2. Step 2: Convert to fraction form
    623.28/859.20 = 446.48/x
  3. Step 3: Cross multiply
    623.28x = 859.20 × 446.48
  4. Step 4: Simplify right side
    623.28x = 383,615.62
  5. Step 5: Solve for x
    x = 383,615.62/623.28
  6. Step 6: Final answer
    x = 615.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.