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Finding the Fourth Proportional to 654.71, 904.01 and 433.97

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Solution

The fourth proportional to 654.71, 904.01 and 433.97 is: 599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.71 : 904.01 = 433.97 : x
  2. Step 2: Convert to fraction form
    654.71/904.01 = 433.97/x
  3. Step 3: Cross multiply
    654.71x = 904.01 × 433.97
  4. Step 4: Simplify right side
    654.71x = 392,313.22
  5. Step 5: Solve for x
    x = 392,313.22/654.71
  6. Step 6: Final answer
    x = 599.22

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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.