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Finding the Fourth Proportional to 654.03, 901.83 and 513.69

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Solution

The fourth proportional to 654.03, 901.83 and 513.69 is: 708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.03 : 901.83 = 513.69 : x
  2. Step 2: Convert to fraction form
    654.03/901.83 = 513.69/x
  3. Step 3: Cross multiply
    654.03x = 901.83 × 513.69
  4. Step 4: Simplify right side
    654.03x = 463,261.05
  5. Step 5: Solve for x
    x = 463,261.05/654.03
  6. Step 6: Final answer
    x = 708.32

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Why These Related Problems?

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