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Finding the Fourth Proportional to 654.25, 902.07 and 513.93

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Solution

The fourth proportional to 654.25, 902.07 and 513.93 is: 708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.25 : 902.07 = 513.93 : x
  2. Step 2: Convert to fraction form
    654.25/902.07 = 513.93/x
  3. Step 3: Cross multiply
    654.25x = 902.07 × 513.93
  4. Step 4: Simplify right side
    654.25x = 463,598.27
  5. Step 5: Solve for x
    x = 463,598.27/654.25
  6. Step 6: Final answer
    x = 708.59

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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.