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Finding the Fourth Proportional to 1,507.64, 2,261.46 and 641.84

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Solution

The fourth proportional to 1,507.64, 2,261.46 and 641.84 is: 962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.64 : 2,261.46 = 641.84 : x
  2. Step 2: Convert to fraction form
    1,507.64/2,261.46 = 641.84/x
  3. Step 3: Cross multiply
    1,507.64x = 2,261.46 × 641.84
  4. Step 4: Simplify right side
    1,507.64x = 1,451,495.49
  5. Step 5: Solve for x
    x = 1,451,495.49/1,507.64
  6. Step 6: Final answer
    x = 962.76

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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.