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Finding the Fourth Proportional to 1,620.93, 2,432.79 and 647.73

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Solution

The fourth proportional to 1,620.93, 2,432.79 and 647.73 is: 972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.93 : 2,432.79 = 647.73 : x
  2. Step 2: Convert to fraction form
    1,620.93/2,432.79 = 647.73/x
  3. Step 3: Cross multiply
    1,620.93x = 2,432.79 × 647.73
  4. Step 4: Simplify right side
    1,620.93x = 1,575,791.07
  5. Step 5: Solve for x
    x = 1,575,791.07/1,620.93
  6. Step 6: Final answer
    x = 972.15

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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.