Home / 1,507.14-2,260.59-467.15

Finding the Fourth Proportional to 1,507.14, 2,260.59 and 467.15

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Solution

The fourth proportional to 1,507.14, 2,260.59 and 467.15 is: 700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.14 : 2,260.59 = 467.15 : x
  2. Step 2: Convert to fraction form
    1,507.14/2,260.59 = 467.15/x
  3. Step 3: Cross multiply
    1,507.14x = 2,260.59 × 467.15
  4. Step 4: Simplify right side
    1,507.14x = 1,056,023.32
  5. Step 5: Solve for x
    x = 1,056,023.32/1,507.14
  6. Step 6: Final answer
    x = 700.68

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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.