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Finding the Fourth Proportional to 882.73, 1,324.47 and 420.83

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Solution

The fourth proportional to 882.73, 1,324.47 and 420.83 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.73 : 1,324.47 = 420.83 : x
  2. Step 2: Convert to fraction form
    882.73/1,324.47 = 420.83/x
  3. Step 3: Cross multiply
    882.73x = 1,324.47 × 420.83
  4. Step 4: Simplify right side
    882.73x = 557,376.71
  5. Step 5: Solve for x
    x = 557,376.71/882.73
  6. Step 6: Final answer
    x = 631.42

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Double scale
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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.