Home / 1,024.20-1,533.06-730.76

Finding the Fourth Proportional to 1,024.20, 1,533.06 and 730.76

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Solution

The fourth proportional to 1,024.20, 1,533.06 and 730.76 is: 1,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.20 : 1,533.06 = 730.76 : x
  2. Step 2: Convert to fraction form
    1,024.20/1,533.06 = 730.76/x
  3. Step 3: Cross multiply
    1,024.20x = 1,533.06 × 730.76
  4. Step 4: Simplify right side
    1,024.20x = 1,120,291.26
  5. Step 5: Solve for x
    x = 1,120,291.26/1,024.20
  6. Step 6: Final answer
    x = 1,093.82

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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.