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Finding the Fourth Proportional to 654.42, 901.98 and 479.46

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Solution

The fourth proportional to 654.42, 901.98 and 479.46 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 901.98 = 479.46 : x
  2. Step 2: Convert to fraction form
    654.42/901.98 = 479.46/x
  3. Step 3: Cross multiply
    654.42x = 901.98 × 479.46
  4. Step 4: Simplify right side
    654.42x = 432,463.33
  5. Step 5: Solve for x
    x = 432,463.33/654.42
  6. Step 6: Final answer
    x = 660.83

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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.