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Finding the Fourth Proportional to 883.96, 1,323.84 and 472.07

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Solution

The fourth proportional to 883.96, 1,323.84 and 472.07 is: 706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.96 : 1,323.84 = 472.07 : x
  2. Step 2: Convert to fraction form
    883.96/1,323.84 = 472.07/x
  3. Step 3: Cross multiply
    883.96x = 1,323.84 × 472.07
  4. Step 4: Simplify right side
    883.96x = 624,945.15
  5. Step 5: Solve for x
    x = 624,945.15/883.96
  6. Step 6: Final answer
    x = 706.98

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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.