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Finding the Fourth Proportional to 824.37, 1,234.80 and 649.86

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Solution

The fourth proportional to 824.37, 1,234.80 and 649.86 is: 973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.37 : 1,234.80 = 649.86 : x
  2. Step 2: Convert to fraction form
    824.37/1,234.80 = 649.86/x
  3. Step 3: Cross multiply
    824.37x = 1,234.80 × 649.86
  4. Step 4: Simplify right side
    824.37x = 802,447.13
  5. Step 5: Solve for x
    x = 802,447.13/824.37
  6. Step 6: Final answer
    x = 973.41

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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.