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Finding the Fourth Proportional to 882.58, 1,322.10 and 442.50

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Solution

The fourth proportional to 882.58, 1,322.10 and 442.50 is: 662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.58 : 1,322.10 = 442.50 : x
  2. Step 2: Convert to fraction form
    882.58/1,322.10 = 442.50/x
  3. Step 3: Cross multiply
    882.58x = 1,322.10 × 442.50
  4. Step 4: Simplify right side
    882.58x = 585,029.25
  5. Step 5: Solve for x
    x = 585,029.25/882.58
  6. Step 6: Final answer
    x = 662.86

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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.