Home / 1,027.14-1,540.63-533.55

Finding the Fourth Proportional to 1,027.14, 1,540.63 and 533.55

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Solution

The fourth proportional to 1,027.14, 1,540.63 and 533.55 is: 800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.14 : 1,540.63 = 533.55 : x
  2. Step 2: Convert to fraction form
    1,027.14/1,540.63 = 533.55/x
  3. Step 3: Cross multiply
    1,027.14x = 1,540.63 × 533.55
  4. Step 4: Simplify right side
    1,027.14x = 822,000.47
  5. Step 5: Solve for x
    x = 822,000.47/1,027.14
  6. Step 6: Final answer
    x = 800.28

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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.