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Finding the Fourth Proportional to 893.83, 1,341.62 and 483.84

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Solution

The fourth proportional to 893.83, 1,341.62 and 483.84 is: 726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.83 : 1,341.62 = 483.84 : x
  2. Step 2: Convert to fraction form
    893.83/1,341.62 = 483.84/x
  3. Step 3: Cross multiply
    893.83x = 1,341.62 × 483.84
  4. Step 4: Simplify right side
    893.83x = 649,129.42
  5. Step 5: Solve for x
    x = 649,129.42/893.83
  6. Step 6: Final answer
    x = 726.23

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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.