Home / 1,507.47-2,261.38-520.37

Finding the Fourth Proportional to 1,507.47, 2,261.38 and 520.37

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Solution

The fourth proportional to 1,507.47, 2,261.38 and 520.37 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.47 : 2,261.38 = 520.37 : x
  2. Step 2: Convert to fraction form
    1,507.47/2,261.38 = 520.37/x
  3. Step 3: Cross multiply
    1,507.47x = 2,261.38 × 520.37
  4. Step 4: Simplify right side
    1,507.47x = 1,176,754.31
  5. Step 5: Solve for x
    x = 1,176,754.31/1,507.47
  6. Step 6: Final answer
    x = 780.62

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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.