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Finding the Fourth Proportional to 480.22, 663.75 and 403.90

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Solution

The fourth proportional to 480.22, 663.75 and 403.90 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.22 : 663.75 = 403.90 : x
  2. Step 2: Convert to fraction form
    480.22/663.75 = 403.90/x
  3. Step 3: Cross multiply
    480.22x = 663.75 × 403.90
  4. Step 4: Simplify right side
    480.22x = 268,088.63
  5. Step 5: Solve for x
    x = 268,088.63/480.22
  6. Step 6: Final answer
    x = 558.26

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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.