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Finding the Fourth Proportional to 487.42, 728.33 and 332.06

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Solution

The fourth proportional to 487.42, 728.33 and 332.06 is: 496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.42 : 728.33 = 332.06 : x
  2. Step 2: Convert to fraction form
    487.42/728.33 = 332.06/x
  3. Step 3: Cross multiply
    487.42x = 728.33 × 332.06
  4. Step 4: Simplify right side
    487.42x = 241,843.96
  5. Step 5: Solve for x
    x = 241,843.96/487.42
  6. Step 6: Final answer
    x = 496.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.