Home / 1,507.26-2,261.23-813.91

Finding the Fourth Proportional to 1,507.26, 2,261.23 and 813.91

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Solution

The fourth proportional to 1,507.26, 2,261.23 and 813.91 is: 1,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.26 : 2,261.23 = 813.91 : x
  2. Step 2: Convert to fraction form
    1,507.26/2,261.23 = 813.91/x
  3. Step 3: Cross multiply
    1,507.26x = 2,261.23 × 813.91
  4. Step 4: Simplify right side
    1,507.26x = 1,840,437.71
  5. Step 5: Solve for x
    x = 1,840,437.71/1,507.26
  6. Step 6: Final answer
    x = 1,221.05

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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.