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Finding the Fourth Proportional to 621.82, 856.08 and 591.04

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Solution

The fourth proportional to 621.82, 856.08 and 591.04 is: 813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.82 : 856.08 = 591.04 : x
  2. Step 2: Convert to fraction form
    621.82/856.08 = 591.04/x
  3. Step 3: Cross multiply
    621.82x = 856.08 × 591.04
  4. Step 4: Simplify right side
    621.82x = 505,977.52
  5. Step 5: Solve for x
    x = 505,977.52/621.82
  6. Step 6: Final answer
    x = 813.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.