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Finding the Fourth Proportional to 1,468.89, 2,203.32 and 442.89

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Solution

The fourth proportional to 1,468.89, 2,203.32 and 442.89 is: 664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.89 : 2,203.32 = 442.89 : x
  2. Step 2: Convert to fraction form
    1,468.89/2,203.32 = 442.89/x
  3. Step 3: Cross multiply
    1,468.89x = 2,203.32 × 442.89
  4. Step 4: Simplify right side
    1,468.89x = 975,828.39
  5. Step 5: Solve for x
    x = 975,828.39/1,468.89
  6. Step 6: Final answer
    x = 664.33

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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.