Home / 1,027.16-1,541.10-513.80

Finding the Fourth Proportional to 1,027.16, 1,541.10 and 513.80

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Solution

The fourth proportional to 1,027.16, 1,541.10 and 513.80 is: 770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.16 : 1,541.10 = 513.80 : x
  2. Step 2: Convert to fraction form
    1,027.16/1,541.10 = 513.80/x
  3. Step 3: Cross multiply
    1,027.16x = 1,541.10 × 513.80
  4. Step 4: Simplify right side
    1,027.16x = 791,817.18
  5. Step 5: Solve for x
    x = 791,817.18/1,027.16
  6. Step 6: Final answer
    x = 770.88

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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.