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Finding the Fourth Proportional to 1,507.74, 2,261.13 and 481.50

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Solution

The fourth proportional to 1,507.74, 2,261.13 and 481.50 is: 722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.74 : 2,261.13 = 481.50 : x
  2. Step 2: Convert to fraction form
    1,507.74/2,261.13 = 481.50/x
  3. Step 3: Cross multiply
    1,507.74x = 2,261.13 × 481.50
  4. Step 4: Simplify right side
    1,507.74x = 1,088,734.10
  5. Step 5: Solve for x
    x = 1,088,734.10/1,507.74
  6. Step 6: Final answer
    x = 722.10

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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.