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Finding the Fourth Proportional to 433.47, 652.65 and 382.44

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Solution

The fourth proportional to 433.47, 652.65 and 382.44 is: 575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.47 : 652.65 = 382.44 : x
  2. Step 2: Convert to fraction form
    433.47/652.65 = 382.44/x
  3. Step 3: Cross multiply
    433.47x = 652.65 × 382.44
  4. Step 4: Simplify right side
    433.47x = 249,599.47
  5. Step 5: Solve for x
    x = 249,599.47/433.47
  6. Step 6: Final answer
    x = 575.82

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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.