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Finding the Fourth Proportional to 882.75, 1,323.73 and 471.78

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Solution

The fourth proportional to 882.75, 1,323.73 and 471.78 is: 707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.75 : 1,323.73 = 471.78 : x
  2. Step 2: Convert to fraction form
    882.75/1,323.73 = 471.78/x
  3. Step 3: Cross multiply
    882.75x = 1,323.73 × 471.78
  4. Step 4: Simplify right side
    882.75x = 624,509.34
  5. Step 5: Solve for x
    x = 624,509.34/882.75
  6. Step 6: Final answer
    x = 707.46

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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.