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Finding the Fourth Proportional to 1,464.90, 2,021.57 and 801.73

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Solution

The fourth proportional to 1,464.90, 2,021.57 and 801.73 is: 1,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.90 : 2,021.57 = 801.73 : x
  2. Step 2: Convert to fraction form
    1,464.90/2,021.57 = 801.73/x
  3. Step 3: Cross multiply
    1,464.90x = 2,021.57 × 801.73
  4. Step 4: Simplify right side
    1,464.90x = 1,620,753.32
  5. Step 5: Solve for x
    x = 1,620,753.32/1,464.90
  6. Step 6: Final answer
    x = 1,106.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.