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Finding the Fourth Proportional to 832.69, 1,248.31 and 442.47

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Solution

The fourth proportional to 832.69, 1,248.31 and 442.47 is: 663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.69 : 1,248.31 = 442.47 : x
  2. Step 2: Convert to fraction form
    832.69/1,248.31 = 442.47/x
  3. Step 3: Cross multiply
    832.69x = 1,248.31 × 442.47
  4. Step 4: Simplify right side
    832.69x = 552,339.73
  5. Step 5: Solve for x
    x = 552,339.73/832.69
  6. Step 6: Final answer
    x = 663.32

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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.