Home / 1,507.47-2,260.76-411.69

Finding the Fourth Proportional to 1,507.47, 2,260.76 and 411.69

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Solution

The fourth proportional to 1,507.47, 2,260.76 and 411.69 is: 617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.47 : 2,260.76 = 411.69 : x
  2. Step 2: Convert to fraction form
    1,507.47/2,260.76 = 411.69/x
  3. Step 3: Cross multiply
    1,507.47x = 2,260.76 × 411.69
  4. Step 4: Simplify right side
    1,507.47x = 930,730.23
  5. Step 5: Solve for x
    x = 930,730.23/1,507.47
  6. Step 6: Final answer
    x = 617.41

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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.