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Finding the Fourth Proportional to 1,801.81, 2,701.09 and 647.29

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Solution

The fourth proportional to 1,801.81, 2,701.09 and 647.29 is: 970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.81 : 2,701.09 = 647.29 : x
  2. Step 2: Convert to fraction form
    1,801.81/2,701.09 = 647.29/x
  3. Step 3: Cross multiply
    1,801.81x = 2,701.09 × 647.29
  4. Step 4: Simplify right side
    1,801.81x = 1,748,388.55
  5. Step 5: Solve for x
    x = 1,748,388.55/1,801.81
  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.