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Finding the Fourth Proportional to 878, 1,316.74 and 415.32

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Solution

The fourth proportional to 878, 1,316.74 and 415.32 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    878 : 1,316.74 = 415.32 : x
  2. Step 2: Convert to fraction form
    878/1,316.74 = 415.32/x
  3. Step 3: Cross multiply
    878x = 1,316.74 × 415.32
  4. Step 4: Simplify right side
    878x = 546,868.46
  5. Step 5: Solve for x
    x = 546,868.46/878
  6. Step 6: Final answer
    x = 622.86

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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.