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Finding the Fourth Proportional to 883.10, 1,322.52 and 442.97

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Solution

The fourth proportional to 883.10, 1,322.52 and 442.97 is: 663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.10 : 1,322.52 = 442.97 : x
  2. Step 2: Convert to fraction form
    883.10/1,322.52 = 442.97/x
  3. Step 3: Cross multiply
    883.10x = 1,322.52 × 442.97
  4. Step 4: Simplify right side
    883.10x = 585,836.68
  5. Step 5: Solve for x
    x = 585,836.68/883.10
  6. Step 6: Final answer
    x = 663.39

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1.5x scale

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.