Home / 1,027.77-1,541.90-534.34

Finding the Fourth Proportional to 1,027.77, 1,541.90 and 534.34

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Solution

The fourth proportional to 1,027.77, 1,541.90 and 534.34 is: 801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.77 : 1,541.90 = 534.34 : x
  2. Step 2: Convert to fraction form
    1,027.77/1,541.90 = 534.34/x
  3. Step 3: Cross multiply
    1,027.77x = 1,541.90 × 534.34
  4. Step 4: Simplify right side
    1,027.77x = 823,898.85
  5. Step 5: Solve for x
    x = 823,898.85/1,027.77
  6. Step 6: Final answer
    x = 801.64

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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.