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Finding the Fourth Proportional to 1,340.20, 2,010.30 and 644.75

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Solution

The fourth proportional to 1,340.20, 2,010.30 and 644.75 is: 967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.20 : 2,010.30 = 644.75 : x
  2. Step 2: Convert to fraction form
    1,340.20/2,010.30 = 644.75/x
  3. Step 3: Cross multiply
    1,340.20x = 2,010.30 × 644.75
  4. Step 4: Simplify right side
    1,340.20x = 1,296,140.93
  5. Step 5: Solve for x
    x = 1,296,140.93/1,340.20
  6. Step 6: Final answer
    x = 967.13

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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.