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Finding the Fourth Proportional to 1,701.61, 2,567.74 and 1,640.59

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Solution

The fourth proportional to 1,701.61, 2,567.74 and 1,640.59 is: 2,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.61 : 2,567.74 = 1,640.59 : x
  2. Step 2: Convert to fraction form
    1,701.61/2,567.74 = 1,640.59/x
  3. Step 3: Cross multiply
    1,701.61x = 2,567.74 × 1,640.59
  4. Step 4: Simplify right side
    1,701.61x = 4,212,608.57
  5. Step 5: Solve for x
    x = 4,212,608.57/1,701.61
  6. Step 6: Final answer
    x = 2,475.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.