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Finding the Fourth Proportional to 1,515.62, 2,272.98 and 590.96

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Solution

The fourth proportional to 1,515.62, 2,272.98 and 590.96 is: 886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.62 : 2,272.98 = 590.96 : x
  2. Step 2: Convert to fraction form
    1,515.62/2,272.98 = 590.96/x
  3. Step 3: Cross multiply
    1,515.62x = 2,272.98 × 590.96
  4. Step 4: Simplify right side
    1,515.62x = 1,343,245.94
  5. Step 5: Solve for x
    x = 1,343,245.94/1,515.62
  6. Step 6: Final answer
    x = 886.27

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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.