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Finding the Fourth Proportional to 882.58, 1,321.23 and 534.86

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Solution

The fourth proportional to 882.58, 1,321.23 and 534.86 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.58 : 1,321.23 = 534.86 : x
  2. Step 2: Convert to fraction form
    882.58/1,321.23 = 534.86/x
  3. Step 3: Cross multiply
    882.58x = 1,321.23 × 534.86
  4. Step 4: Simplify right side
    882.58x = 706,673.08
  5. Step 5: Solve for x
    x = 706,673.08/882.58
  6. Step 6: Final answer
    x = 800.69

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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.