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Finding the Fourth Proportional to 883.92, 1,216.80 and 837.84

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Solution

The fourth proportional to 883.92, 1,216.80 and 837.84 is: 1,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.92 : 1,216.80 = 837.84 : x
  2. Step 2: Convert to fraction form
    883.92/1,216.80 = 837.84/x
  3. Step 3: Cross multiply
    883.92x = 1,216.80 × 837.84
  4. Step 4: Simplify right side
    883.92x = 1,019,483.71
  5. Step 5: Solve for x
    x = 1,019,483.71/883.92
  6. Step 6: Final answer
    x = 1,153.37

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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.