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Finding the Fourth Proportional to 654.41, 976.80 and 599.61

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Solution

The fourth proportional to 654.41, 976.80 and 599.61 is: 895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.41 : 976.80 = 599.61 : x
  2. Step 2: Convert to fraction form
    654.41/976.80 = 599.61/x
  3. Step 3: Cross multiply
    654.41x = 976.80 × 599.61
  4. Step 4: Simplify right side
    654.41x = 585,699.05
  5. Step 5: Solve for x
    x = 585,699.05/654.41
  6. Step 6: Final answer
    x = 895.01

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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.