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Finding the Fourth Proportional to 495.26, 742.06 and 443.93

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Solution

The fourth proportional to 495.26, 742.06 and 443.93 is: 665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.26 : 742.06 = 443.93 : x
  2. Step 2: Convert to fraction form
    495.26/742.06 = 443.93/x
  3. Step 3: Cross multiply
    495.26x = 742.06 × 443.93
  4. Step 4: Simplify right side
    495.26x = 329,423.71
  5. Step 5: Solve for x
    x = 329,423.71/495.26
  6. Step 6: Final answer
    x = 665.15

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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.