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Finding the Fourth Proportional to 469.81, 701.39 and 359.54

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Solution

The fourth proportional to 469.81, 701.39 and 359.54 is: 536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.81 : 701.39 = 359.54 : x
  2. Step 2: Convert to fraction form
    469.81/701.39 = 359.54/x
  3. Step 3: Cross multiply
    469.81x = 701.39 × 359.54
  4. Step 4: Simplify right side
    469.81x = 252,177.76
  5. Step 5: Solve for x
    x = 252,177.76/469.81
  6. Step 6: Final answer
    x = 536.77

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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.