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Finding the Fourth Proportional to 654.03, 981.14 and 345.83

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Solution

The fourth proportional to 654.03, 981.14 and 345.83 is: 518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.03 : 981.14 = 345.83 : x
  2. Step 2: Convert to fraction form
    654.03/981.14 = 345.83/x
  3. Step 3: Cross multiply
    654.03x = 981.14 × 345.83
  4. Step 4: Simplify right side
    654.03x = 339,301.01
  5. Step 5: Solve for x
    x = 339,301.01/654.03
  6. Step 6: Final answer
    x = 518.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.