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Finding the Fourth Proportional to 654.54, 902.02 and 514.32

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Solution

The fourth proportional to 654.54, 902.02 and 514.32 is: 708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.54 : 902.02 = 514.32 : x
  2. Step 2: Convert to fraction form
    654.54/902.02 = 514.32/x
  3. Step 3: Cross multiply
    654.54x = 902.02 × 514.32
  4. Step 4: Simplify right side
    654.54x = 463,926.93
  5. Step 5: Solve for x
    x = 463,926.93/654.54
  6. Step 6: Final answer
    x = 708.78

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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.