Home / 1,456.12-2,184.38-531.64

Finding the Fourth Proportional to 1,456.12, 2,184.38 and 531.64

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Solution

The fourth proportional to 1,456.12, 2,184.38 and 531.64 is: 797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.12 : 2,184.38 = 531.64 : x
  2. Step 2: Convert to fraction form
    1,456.12/2,184.38 = 531.64/x
  3. Step 3: Cross multiply
    1,456.12x = 2,184.38 × 531.64
  4. Step 4: Simplify right side
    1,456.12x = 1,161,303.78
  5. Step 5: Solve for x
    x = 1,161,303.78/1,456.12
  6. Step 6: Final answer
    x = 797.53

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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.