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Finding the Fourth Proportional to 1,742.26, 2,613.84 and 646.66

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Solution

The fourth proportional to 1,742.26, 2,613.84 and 646.66 is: 970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.26 : 2,613.84 = 646.66 : x
  2. Step 2: Convert to fraction form
    1,742.26/2,613.84 = 646.66/x
  3. Step 3: Cross multiply
    1,742.26x = 2,613.84 × 646.66
  4. Step 4: Simplify right side
    1,742.26x = 1,690,265.77
  5. Step 5: Solve for x
    x = 1,690,265.77/1,742.26
  6. Step 6: Final answer
    x = 970.16

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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.