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Finding the Fourth Proportional to 433.05, 652.47 and 391.97

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Solution

The fourth proportional to 433.05, 652.47 and 391.97 is: 590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.05 : 652.47 = 391.97 : x
  2. Step 2: Convert to fraction form
    433.05/652.47 = 391.97/x
  3. Step 3: Cross multiply
    433.05x = 652.47 × 391.97
  4. Step 4: Simplify right side
    433.05x = 255,750.30
  5. Step 5: Solve for x
    x = 255,750.30/433.05
  6. Step 6: Final answer
    x = 590.58

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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.