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Finding the Fourth Proportional to 654.02, 901.94 and 432.88

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Solution

The fourth proportional to 654.02, 901.94 and 432.88 is: 596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 901.94 = 432.88 : x
  2. Step 2: Convert to fraction form
    654.02/901.94 = 432.88/x
  3. Step 3: Cross multiply
    654.02x = 901.94 × 432.88
  4. Step 4: Simplify right side
    654.02x = 390,431.79
  5. Step 5: Solve for x
    x = 390,431.79/654.02
  6. Step 6: Final answer
    x = 596.97

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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.