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Finding the Fourth Proportional to 1,513.59, 2,271.11 and 540.15

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Solution

The fourth proportional to 1,513.59, 2,271.11 and 540.15 is: 810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.59 : 2,271.11 = 540.15 : x
  2. Step 2: Convert to fraction form
    1,513.59/2,271.11 = 540.15/x
  3. Step 3: Cross multiply
    1,513.59x = 2,271.11 × 540.15
  4. Step 4: Simplify right side
    1,513.59x = 1,226,737.37
  5. Step 5: Solve for x
    x = 1,226,737.37/1,513.59
  6. Step 6: Final answer
    x = 810.48

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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.