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Finding the Fourth Proportional to 654.06, 976.49 and 499.16

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Solution

The fourth proportional to 654.06, 976.49 and 499.16 is: 745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.06 : 976.49 = 499.16 : x
  2. Step 2: Convert to fraction form
    654.06/976.49 = 499.16/x
  3. Step 3: Cross multiply
    654.06x = 976.49 × 499.16
  4. Step 4: Simplify right side
    654.06x = 487,424.75
  5. Step 5: Solve for x
    x = 487,424.75/654.06
  6. Step 6: Final answer
    x = 745.23

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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.