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Finding the Fourth Proportional to 878.05, 1,314.64 and 444.30

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Solution

The fourth proportional to 878.05, 1,314.64 and 444.30 is: 665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.05 : 1,314.64 = 444.30 : x
  2. Step 2: Convert to fraction form
    878.05/1,314.64 = 444.30/x
  3. Step 3: Cross multiply
    878.05x = 1,314.64 × 444.30
  4. Step 4: Simplify right side
    878.05x = 584,094.55
  5. Step 5: Solve for x
    x = 584,094.55/878.05
  6. Step 6: Final answer
    x = 665.22

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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.