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Finding the Fourth Proportional to 1,742.93, 2,613.84 and 647.04

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Solution

The fourth proportional to 1,742.93, 2,613.84 and 647.04 is: 970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.93 : 2,613.84 = 647.04 : x
  2. Step 2: Convert to fraction form
    1,742.93/2,613.84 = 647.04/x
  3. Step 3: Cross multiply
    1,742.93x = 2,613.84 × 647.04
  4. Step 4: Simplify right side
    1,742.93x = 1,691,259.03
  5. Step 5: Solve for x
    x = 1,691,259.03/1,742.93
  6. Step 6: Final answer
    x = 970.35

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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.