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Finding the Fourth Proportional to 1,514.90, 2,271.07 and 591.10

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Solution

The fourth proportional to 1,514.90, 2,271.07 and 591.10 is: 886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.90 : 2,271.07 = 591.10 : x
  2. Step 2: Convert to fraction form
    1,514.90/2,271.07 = 591.10/x
  3. Step 3: Cross multiply
    1,514.90x = 2,271.07 × 591.10
  4. Step 4: Simplify right side
    1,514.90x = 1,342,429.48
  5. Step 5: Solve for x
    x = 1,342,429.48/1,514.90
  6. Step 6: Final answer
    x = 886.15

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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.