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Finding the Fourth Proportional to 883.45, 1,218.67 and 647.94

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Solution

The fourth proportional to 883.45, 1,218.67 and 647.94 is: 893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.45 : 1,218.67 = 647.94 : x
  2. Step 2: Convert to fraction form
    883.45/1,218.67 = 647.94/x
  3. Step 3: Cross multiply
    883.45x = 1,218.67 × 647.94
  4. Step 4: Simplify right side
    883.45x = 789,623.42
  5. Step 5: Solve for x
    x = 789,623.42/883.45
  6. Step 6: Final answer
    x = 893.80

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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.