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Finding the Fourth Proportional to 455.15, 685.54 and 433.28

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Solution

The fourth proportional to 455.15, 685.54 and 433.28 is: 652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.15 : 685.54 = 433.28 : x
  2. Step 2: Convert to fraction form
    455.15/685.54 = 433.28/x
  3. Step 3: Cross multiply
    455.15x = 685.54 × 433.28
  4. Step 4: Simplify right side
    455.15x = 297,028.60
  5. Step 5: Solve for x
    x = 297,028.60/455.15
  6. Step 6: Final answer
    x = 652.59

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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.