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Finding the Fourth Proportional to 654.21, 903.06 and 513.99

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Solution

The fourth proportional to 654.21, 903.06 and 513.99 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.21 : 903.06 = 513.99 : x
  2. Step 2: Convert to fraction form
    654.21/903.06 = 513.99/x
  3. Step 3: Cross multiply
    654.21x = 903.06 × 513.99
  4. Step 4: Simplify right side
    654.21x = 464,163.81
  5. Step 5: Solve for x
    x = 464,163.81/654.21
  6. Step 6: Final answer
    x = 709.50

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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.