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Finding the Fourth Proportional to 882, 1,323.38 and 471.02

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Solution

The fourth proportional to 882, 1,323.38 and 471.02 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    882 : 1,323.38 = 471.02 : x
  2. Step 2: Convert to fraction form
    882/1,323.38 = 471.02/x
  3. Step 3: Cross multiply
    882x = 1,323.38 × 471.02
  4. Step 4: Simplify right side
    882x = 623,338.45
  5. Step 5: Solve for x
    x = 623,338.45/882
  6. Step 6: Final answer
    x = 706.73

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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.