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Finding the Fourth Proportional to 484.81, 669.55 and 392.56

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Solution

The fourth proportional to 484.81, 669.55 and 392.56 is: 542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.81 : 669.55 = 392.56 : x
  2. Step 2: Convert to fraction form
    484.81/669.55 = 392.56/x
  3. Step 3: Cross multiply
    484.81x = 669.55 × 392.56
  4. Step 4: Simplify right side
    484.81x = 262,838.55
  5. Step 5: Solve for x
    x = 262,838.55/484.81
  6. Step 6: Final answer
    x = 542.15

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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.