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Finding the Fourth Proportional to 495.43, 741.25 and 364.57

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Solution

The fourth proportional to 495.43, 741.25 and 364.57 is: 545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.43 : 741.25 = 364.57 : x
  2. Step 2: Convert to fraction form
    495.43/741.25 = 364.57/x
  3. Step 3: Cross multiply
    495.43x = 741.25 × 364.57
  4. Step 4: Simplify right side
    495.43x = 270,237.51
  5. Step 5: Solve for x
    x = 270,237.51/495.43
  6. Step 6: Final answer
    x = 545.46

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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.