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Finding the Fourth Proportional to 496.42, 740.19 and 478.64

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Solution

The fourth proportional to 496.42, 740.19 and 478.64 is: 713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.42 : 740.19 = 478.64 : x
  2. Step 2: Convert to fraction form
    496.42/740.19 = 478.64/x
  3. Step 3: Cross multiply
    496.42x = 740.19 × 478.64
  4. Step 4: Simplify right side
    496.42x = 354,284.54
  5. Step 5: Solve for x
    x = 354,284.54/496.42
  6. Step 6: Final answer
    x = 713.68

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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.