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Finding the Fourth Proportional to 654.50, 903.26 and 389.02

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Solution

The fourth proportional to 654.50, 903.26 and 389.02 is: 536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.50 : 903.26 = 389.02 : x
  2. Step 2: Convert to fraction form
    654.50/903.26 = 389.02/x
  3. Step 3: Cross multiply
    654.50x = 903.26 × 389.02
  4. Step 4: Simplify right side
    654.50x = 351,386.21
  5. Step 5: Solve for x
    x = 351,386.21/654.50
  6. Step 6: Final answer
    x = 536.88

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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.