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Finding the Fourth Proportional to 433.17, 652.32 and 390.33

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Solution

The fourth proportional to 433.17, 652.32 and 390.33 is: 587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.17 : 652.32 = 390.33 : x
  2. Step 2: Convert to fraction form
    433.17/652.32 = 390.33/x
  3. Step 3: Cross multiply
    433.17x = 652.32 × 390.33
  4. Step 4: Simplify right side
    433.17x = 254,620.07
  5. Step 5: Solve for x
    x = 254,620.07/433.17
  6. Step 6: Final answer
    x = 587.81

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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.