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Finding the Fourth Proportional to 409.68, 560.28 and 403.32

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Solution

The fourth proportional to 409.68, 560.28 and 403.32 is: 551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 560.28 = 403.32 : x
  2. Step 2: Convert to fraction form
    409.68/560.28 = 403.32/x
  3. Step 3: Cross multiply
    409.68x = 560.28 × 403.32
  4. Step 4: Simplify right side
    409.68x = 225,972.13
  5. Step 5: Solve for x
    x = 225,972.13/409.68
  6. Step 6: Final answer
    x = 551.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.