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Finding the Fourth Proportional to 439.80, 656.25 and 401.00

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Solution

The fourth proportional to 439.80, 656.25 and 401.00 is: 598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.80 : 656.25 = 401.00 : x
  2. Step 2: Convert to fraction form
    439.80/656.25 = 401.00/x
  3. Step 3: Cross multiply
    439.80x = 656.25 × 401.00
  4. Step 4: Simplify right side
    439.80x = 263,152.97
  5. Step 5: Solve for x
    x = 263,152.97/439.80
  6. Step 6: Final answer
    x = 598.35

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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.