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Finding the Fourth Proportional to 623.49, 860.46 and 446.47

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Solution

The fourth proportional to 623.49, 860.46 and 446.47 is: 616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.49 : 860.46 = 446.47 : x
  2. Step 2: Convert to fraction form
    623.49/860.46 = 446.47/x
  3. Step 3: Cross multiply
    623.49x = 860.46 × 446.47
  4. Step 4: Simplify right side
    623.49x = 384,165.75
  5. Step 5: Solve for x
    x = 384,165.75/623.49
  6. Step 6: Final answer
    x = 616.16

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