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Finding the Fourth Proportional to 654.66, 903.63 and 389.29

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Solution

The fourth proportional to 654.66, 903.63 and 389.29 is: 537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 903.63 = 389.29 : x
  2. Step 2: Convert to fraction form
    654.66/903.63 = 389.29/x
  3. Step 3: Cross multiply
    654.66x = 903.63 × 389.29
  4. Step 4: Simplify right side
    654.66x = 351,776.58
  5. Step 5: Solve for x
    x = 351,776.58/654.66
  6. Step 6: Final answer
    x = 537.34

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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.