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Finding the Fourth Proportional to 585.62, 878.56 and 403.10

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Solution

The fourth proportional to 585.62, 878.56 and 403.10 is: 604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.62 : 878.56 = 403.10 : x
  2. Step 2: Convert to fraction form
    585.62/878.56 = 403.10/x
  3. Step 3: Cross multiply
    585.62x = 878.56 × 403.10
  4. Step 4: Simplify right side
    585.62x = 354,147.54
  5. Step 5: Solve for x
    x = 354,147.54/585.62
  6. Step 6: Final answer
    x = 604.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.