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Finding the Fourth Proportional to 493.68, 740.16 and 408

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Solution

The fourth proportional to 493.68, 740.16 and 408 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 740.16 = 408 : x
  2. Step 2: Convert to fraction form
    493.68/740.16 = 408/x
  3. Step 3: Cross multiply
    493.68x = 740.16 × 408
  4. Step 4: Simplify right side
    493.68x = 301,985.28
  5. Step 5: Solve for x
    x = 301,985.28/493.68
  6. Step 6: Final answer
    x = 611.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.