Home / 1,511.22-2,265.47-537.10

Finding the Fourth Proportional to 1,511.22, 2,265.47 and 537.10

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Solution

The fourth proportional to 1,511.22, 2,265.47 and 537.10 is: 805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.22 : 2,265.47 = 537.10 : x
  2. Step 2: Convert to fraction form
    1,511.22/2,265.47 = 537.10/x
  3. Step 3: Cross multiply
    1,511.22x = 2,265.47 × 537.10
  4. Step 4: Simplify right side
    1,511.22x = 1,216,776.93
  5. Step 5: Solve for x
    x = 1,216,776.93/1,511.22
  6. Step 6: Final answer
    x = 805.16

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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.