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Finding the Fourth Proportional to 621.42, 927.98 and 585.42

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Solution

The fourth proportional to 621.42, 927.98 and 585.42 is: 874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.42 : 927.98 = 585.42 : x
  2. Step 2: Convert to fraction form
    621.42/927.98 = 585.42/x
  3. Step 3: Cross multiply
    621.42x = 927.98 × 585.42
  4. Step 4: Simplify right side
    621.42x = 543,258.05
  5. Step 5: Solve for x
    x = 543,258.05/621.42
  6. Step 6: Final answer
    x = 874.22

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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.