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Finding the Fourth Proportional to 1,410, 2,115.16 and 641.04

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Solution

The fourth proportional to 1,410, 2,115.16 and 641.04 is: 961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410 : 2,115.16 = 641.04 : x
  2. Step 2: Convert to fraction form
    1,410/2,115.16 = 641.04/x
  3. Step 3: Cross multiply
    1,410x = 2,115.16 × 641.04
  4. Step 4: Simplify right side
    1,410x = 1,355,902.17
  5. Step 5: Solve for x
    x = 1,355,902.17/1,410
  6. Step 6: Final answer
    x = 961.63

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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.