Home / 1,053.25-1,580.30-532.97

Finding the Fourth Proportional to 1,053.25, 1,580.30 and 532.97

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Solution

The fourth proportional to 1,053.25, 1,580.30 and 532.97 is: 799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.25 : 1,580.30 = 532.97 : x
  2. Step 2: Convert to fraction form
    1,053.25/1,580.30 = 532.97/x
  3. Step 3: Cross multiply
    1,053.25x = 1,580.30 × 532.97
  4. Step 4: Simplify right side
    1,053.25x = 842,249.83
  5. Step 5: Solve for x
    x = 842,249.83/1,053.25
  6. Step 6: Final answer
    x = 799.67

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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.