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Finding the Fourth Proportional to 433.46, 652.64 and 382.42

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Solution

The fourth proportional to 433.46, 652.64 and 382.42 is: 575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.46 : 652.64 = 382.42 : x
  2. Step 2: Convert to fraction form
    433.46/652.64 = 382.42/x
  3. Step 3: Cross multiply
    433.46x = 652.64 × 382.42
  4. Step 4: Simplify right side
    433.46x = 249,582.59
  5. Step 5: Solve for x
    x = 249,582.59/433.46
  6. Step 6: Final answer
    x = 575.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.