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Finding the Fourth Proportional to 585.82, 878.01 and 297.10

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Solution

The fourth proportional to 585.82, 878.01 and 297.10 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 878.01 = 297.10 : x
  2. Step 2: Convert to fraction form
    585.82/878.01 = 297.10/x
  3. Step 3: Cross multiply
    585.82x = 878.01 × 297.10
  4. Step 4: Simplify right side
    585.82x = 260,856.77
  5. Step 5: Solve for x
    x = 260,856.77/585.82
  6. Step 6: Final answer
    x = 445.28

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Why These Related Problems?

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