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Finding the Fourth Proportional to 688.86, 1,031.79 and 442.23

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Solution

The fourth proportional to 688.86, 1,031.79 and 442.23 is: 662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.86 : 1,031.79 = 442.23 : x
  2. Step 2: Convert to fraction form
    688.86/1,031.79 = 442.23/x
  3. Step 3: Cross multiply
    688.86x = 1,031.79 × 442.23
  4. Step 4: Simplify right side
    688.86x = 456,288.49
  5. Step 5: Solve for x
    x = 456,288.49/688.86
  6. Step 6: Final answer
    x = 662.38

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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.