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Finding the Fourth Proportional to 1,515.36, 2,272.04 and 591.01

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Solution

The fourth proportional to 1,515.36, 2,272.04 and 591.01 is: 886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.36 : 2,272.04 = 591.01 : x
  2. Step 2: Convert to fraction form
    1,515.36/2,272.04 = 591.01/x
  3. Step 3: Cross multiply
    1,515.36x = 2,272.04 × 591.01
  4. Step 4: Simplify right side
    1,515.36x = 1,342,784.05
  5. Step 5: Solve for x
    x = 1,342,784.05/1,515.36
  6. Step 6: Final answer
    x = 886.12

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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.