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Finding the Fourth Proportional to 496.46, 740.32 and 461.83

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Solution

The fourth proportional to 496.46, 740.32 and 461.83 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.46 : 740.32 = 461.83 : x
  2. Step 2: Convert to fraction form
    496.46/740.32 = 461.83/x
  3. Step 3: Cross multiply
    496.46x = 740.32 × 461.83
  4. Step 4: Simplify right side
    496.46x = 341,901.99
  5. Step 5: Solve for x
    x = 341,901.99/496.46
  6. Step 6: Final answer
    x = 688.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.