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Finding the Fourth Proportional to 1,742.63, 2,613.11 and 646.89

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Solution

The fourth proportional to 1,742.63, 2,613.11 and 646.89 is: 970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.63 : 2,613.11 = 646.89 : x
  2. Step 2: Convert to fraction form
    1,742.63/2,613.11 = 646.89/x
  3. Step 3: Cross multiply
    1,742.63x = 2,613.11 × 646.89
  4. Step 4: Simplify right side
    1,742.63x = 1,690,391.49
  5. Step 5: Solve for x
    x = 1,690,391.49/1,742.63
  6. Step 6: Final answer
    x = 970.03

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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.