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Finding the Fourth Proportional to 1,507.40, 2,260.52 and 641.78

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Solution

The fourth proportional to 1,507.40, 2,260.52 and 641.78 is: 962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.40 : 2,260.52 = 641.78 : x
  2. Step 2: Convert to fraction form
    1,507.40/2,260.52 = 641.78/x
  3. Step 3: Cross multiply
    1,507.40x = 2,260.52 × 641.78
  4. Step 4: Simplify right side
    1,507.40x = 1,450,756.53
  5. Step 5: Solve for x
    x = 1,450,756.53/1,507.40
  6. Step 6: Final answer
    x = 962.42

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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.