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Finding the Fourth Proportional to 623.96, 861.94 and 591.16

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Solution

The fourth proportional to 623.96, 861.94 and 591.16 is: 816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.96 : 861.94 = 591.16 : x
  2. Step 2: Convert to fraction form
    623.96/861.94 = 591.16/x
  3. Step 3: Cross multiply
    623.96x = 861.94 × 591.16
  4. Step 4: Simplify right side
    623.96x = 509,544.45
  5. Step 5: Solve for x
    x = 509,544.45/623.96
  6. Step 6: Final answer
    x = 816.63

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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.