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Finding the Fourth Proportional to 1,647.10, 2,470.98 and 607.11

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Solution

The fourth proportional to 1,647.10, 2,470.98 and 607.11 is: 910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.10 : 2,470.98 = 607.11 : x
  2. Step 2: Convert to fraction form
    1,647.10/2,470.98 = 607.11/x
  3. Step 3: Cross multiply
    1,647.10x = 2,470.98 × 607.11
  4. Step 4: Simplify right side
    1,647.10x = 1,500,142.80
  5. Step 5: Solve for x
    x = 1,500,142.80/1,647.10
  6. Step 6: Final answer
    x = 910.78

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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.