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Finding the Fourth Proportional to 423.58, 632.56 and 365.94

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Solution

The fourth proportional to 423.58, 632.56 and 365.94 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.58 : 632.56 = 365.94 : x
  2. Step 2: Convert to fraction form
    423.58/632.56 = 365.94/x
  3. Step 3: Cross multiply
    423.58x = 632.56 × 365.94
  4. Step 4: Simplify right side
    423.58x = 231,479.01
  5. Step 5: Solve for x
    x = 231,479.01/423.58
  6. Step 6: Final answer
    x = 546.48

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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.