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Finding the Fourth Proportional to 882.62, 1,324.39 and 420.31

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Solution

The fourth proportional to 882.62, 1,324.39 and 420.31 is: 630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.62 : 1,324.39 = 420.31 : x
  2. Step 2: Convert to fraction form
    882.62/1,324.39 = 420.31/x
  3. Step 3: Cross multiply
    882.62x = 1,324.39 × 420.31
  4. Step 4: Simplify right side
    882.62x = 556,658.89
  5. Step 5: Solve for x
    x = 556,658.89/882.62
  6. Step 6: Final answer
    x = 630.69

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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.