Home / 1,465.20-2,197.80-540.45

Finding the Fourth Proportional to 1,465.20, 2,197.80 and 540.45

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Solution

The fourth proportional to 1,465.20, 2,197.80 and 540.45 is: 810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.20 : 2,197.80 = 540.45 : x
  2. Step 2: Convert to fraction form
    1,465.20/2,197.80 = 540.45/x
  3. Step 3: Cross multiply
    1,465.20x = 2,197.80 × 540.45
  4. Step 4: Simplify right side
    1,465.20x = 1,187,801.01
  5. Step 5: Solve for x
    x = 1,187,801.01/1,465.20
  6. Step 6: Final answer
    x = 810.68

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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.