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Finding the Fourth Proportional to 495.59, 741.56 and 433.62

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Solution

The fourth proportional to 495.59, 741.56 and 433.62 is: 648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.59 : 741.56 = 433.62 : x
  2. Step 2: Convert to fraction form
    495.59/741.56 = 433.62/x
  3. Step 3: Cross multiply
    495.59x = 741.56 × 433.62
  4. Step 4: Simplify right side
    495.59x = 321,553.08
  5. Step 5: Solve for x
    x = 321,553.08/495.59
  6. Step 6: Final answer
    x = 648.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.