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Finding the Fourth Proportional to 1,801.95, 2,703.11 and 647.43

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Solution

The fourth proportional to 1,801.95, 2,703.11 and 647.43 is: 971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.95 : 2,703.11 = 647.43 : x
  2. Step 2: Convert to fraction form
    1,801.95/2,703.11 = 647.43/x
  3. Step 3: Cross multiply
    1,801.95x = 2,703.11 × 647.43
  4. Step 4: Simplify right side
    1,801.95x = 1,750,071.27
  5. Step 5: Solve for x
    x = 1,750,071.27/1,801.95
  6. Step 6: Final answer
    x = 971.21

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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.