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Finding the Fourth Proportional to 1,613.74, 2,404.39 and 1,507.66

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Solution

The fourth proportional to 1,613.74, 2,404.39 and 1,507.66 is: 2,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.74 : 2,404.39 = 1,507.66 : x
  2. Step 2: Convert to fraction form
    1,613.74/2,404.39 = 1,507.66/x
  3. Step 3: Cross multiply
    1,613.74x = 2,404.39 × 1,507.66
  4. Step 4: Simplify right side
    1,613.74x = 3,624,992.85
  5. Step 5: Solve for x
    x = 3,624,992.85/1,613.74
  6. Step 6: Final answer
    x = 2,246.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.