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Finding the Fourth Proportional to 493.68, 740.22 and 420.60

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Solution

The fourth proportional to 493.68, 740.22 and 420.60 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 740.22 = 420.60 : x
  2. Step 2: Convert to fraction form
    493.68/740.22 = 420.60/x
  3. Step 3: Cross multiply
    493.68x = 740.22 × 420.60
  4. Step 4: Simplify right side
    493.68x = 311,336.53
  5. Step 5: Solve for x
    x = 311,336.53/493.68
  6. Step 6: Final answer
    x = 630.64

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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.