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Finding the Fourth Proportional to 654.42, 903.14 and 392.39

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Solution

The fourth proportional to 654.42, 903.14 and 392.39 is: 541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 903.14 = 392.39 : x
  2. Step 2: Convert to fraction form
    654.42/903.14 = 392.39/x
  3. Step 3: Cross multiply
    654.42x = 903.14 × 392.39
  4. Step 4: Simplify right side
    654.42x = 354,376.63
  5. Step 5: Solve for x
    x = 354,376.63/654.42
  6. Step 6: Final answer
    x = 541.51

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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.