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Finding the Fourth Proportional to 1,410.78, 2,115.90 and 436.62

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Solution

The fourth proportional to 1,410.78, 2,115.90 and 436.62 is: 654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.78 : 2,115.90 = 436.62 : x
  2. Step 2: Convert to fraction form
    1,410.78/2,115.90 = 436.62/x
  3. Step 3: Cross multiply
    1,410.78x = 2,115.90 × 436.62
  4. Step 4: Simplify right side
    1,410.78x = 923,844.26
  5. Step 5: Solve for x
    x = 923,844.26/1,410.78
  6. Step 6: Final answer
    x = 654.85

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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.