Home / 1,154.77-1,731.85-537.87

Finding the Fourth Proportional to 1,154.77, 1,731.85 and 537.87

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Solution

The fourth proportional to 1,154.77, 1,731.85 and 537.87 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.77 : 1,731.85 = 537.87 : x
  2. Step 2: Convert to fraction form
    1,154.77/1,731.85 = 537.87/x
  3. Step 3: Cross multiply
    1,154.77x = 1,731.85 × 537.87
  4. Step 4: Simplify right side
    1,154.77x = 931,511.80
  5. Step 5: Solve for x
    x = 931,511.80/1,154.77
  6. Step 6: Final answer
    x = 806.66

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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.