Home / 1,465.10-2,197.43-540.53

Finding the Fourth Proportional to 1,465.10, 2,197.43 and 540.53

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Solution

The fourth proportional to 1,465.10, 2,197.43 and 540.53 is: 810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.10 : 2,197.43 = 540.53 : x
  2. Step 2: Convert to fraction form
    1,465.10/2,197.43 = 540.53/x
  3. Step 3: Cross multiply
    1,465.10x = 2,197.43 × 540.53
  4. Step 4: Simplify right side
    1,465.10x = 1,187,774.14
  5. Step 5: Solve for x
    x = 1,187,774.14/1,465.10
  6. Step 6: Final answer
    x = 810.71

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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.