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Finding the Fourth Proportional to 1,514.70, 2,270.03 and 649.62

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Solution

The fourth proportional to 1,514.70, 2,270.03 and 649.62 is: 973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.70 : 2,270.03 = 649.62 : x
  2. Step 2: Convert to fraction form
    1,514.70/2,270.03 = 649.62/x
  3. Step 3: Cross multiply
    1,514.70x = 2,270.03 × 649.62
  4. Step 4: Simplify right side
    1,514.70x = 1,474,653.64
  5. Step 5: Solve for x
    x = 1,474,653.64/1,514.70
  6. Step 6: Final answer
    x = 973.56

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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.