Home / 1,397.24-2,095.82-531.52

Finding the Fourth Proportional to 1,397.24, 2,095.82 and 531.52

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Solution

The fourth proportional to 1,397.24, 2,095.82 and 531.52 is: 797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.24 : 2,095.82 = 531.52 : x
  2. Step 2: Convert to fraction form
    1,397.24/2,095.82 = 531.52/x
  3. Step 3: Cross multiply
    1,397.24x = 2,095.82 × 531.52
  4. Step 4: Simplify right side
    1,397.24x = 1,113,970.25
  5. Step 5: Solve for x
    x = 1,113,970.25/1,397.24
  6. Step 6: Final answer
    x = 797.26

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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.