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Finding the Fourth Proportional to 623.30, 854.75 and 591.71

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Solution

The fourth proportional to 623.30, 854.75 and 591.71 is: 811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.30 : 854.75 = 591.71 : x
  2. Step 2: Convert to fraction form
    623.30/854.75 = 591.71/x
  3. Step 3: Cross multiply
    623.30x = 854.75 × 591.71
  4. Step 4: Simplify right side
    623.30x = 505,761.33
  5. Step 5: Solve for x
    x = 505,761.33/623.30
  6. Step 6: Final answer
    x = 811.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.