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Finding the Fourth Proportional to 654.51, 976.68 and 596.30

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Solution

The fourth proportional to 654.51, 976.68 and 596.30 is: 889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.51 : 976.68 = 596.30 : x
  2. Step 2: Convert to fraction form
    654.51/976.68 = 596.30/x
  3. Step 3: Cross multiply
    654.51x = 976.68 × 596.30
  4. Step 4: Simplify right side
    654.51x = 582,389.40
  5. Step 5: Solve for x
    x = 582,389.40/654.51
  6. Step 6: Final answer
    x = 889.81

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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.