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Finding the Fourth Proportional to 623.12, 927.46 and 605.84

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Solution

The fourth proportional to 623.12, 927.46 and 605.84 is: 901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.12 : 927.46 = 605.84 : x
  2. Step 2: Convert to fraction form
    623.12/927.46 = 605.84/x
  3. Step 3: Cross multiply
    623.12x = 927.46 × 605.84
  4. Step 4: Simplify right side
    623.12x = 561,892.37
  5. Step 5: Solve for x
    x = 561,892.37/623.12
  6. Step 6: Final answer
    x = 901.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.