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Finding the Fourth Proportional to 654.74, 901.74 and 514.64

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Solution

The fourth proportional to 654.74, 901.74 and 514.64 is: 708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.74 : 901.74 = 514.64 : x
  2. Step 2: Convert to fraction form
    654.74/901.74 = 514.64/x
  3. Step 3: Cross multiply
    654.74x = 901.74 × 514.64
  4. Step 4: Simplify right side
    654.74x = 464,066.96
  5. Step 5: Solve for x
    x = 464,066.96/654.74
  6. Step 6: Final answer
    x = 708.79

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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.