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Finding the Fourth Proportional to 883.17, 1,323.61 and 472.03

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Solution

The fourth proportional to 883.17, 1,323.61 and 472.03 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.17 : 1,323.61 = 472.03 : x
  2. Step 2: Convert to fraction form
    883.17/1,323.61 = 472.03/x
  3. Step 3: Cross multiply
    883.17x = 1,323.61 × 472.03
  4. Step 4: Simplify right side
    883.17x = 624,779.14
  5. Step 5: Solve for x
    x = 624,779.14/883.17
  6. Step 6: Final answer
    x = 707.43

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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.