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Finding the Fourth Proportional to 621.86, 933.41 and 474.24

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Solution

The fourth proportional to 621.86, 933.41 and 474.24 is: 711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.86 : 933.41 = 474.24 : x
  2. Step 2: Convert to fraction form
    621.86/933.41 = 474.24/x
  3. Step 3: Cross multiply
    621.86x = 933.41 × 474.24
  4. Step 4: Simplify right side
    621.86x = 442,657.99
  5. Step 5: Solve for x
    x = 442,657.99/621.86
  6. Step 6: Final answer
    x = 711.83

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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.