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Finding the Fourth Proportional to 645.74, 890.93 and 365.93

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Solution

The fourth proportional to 645.74, 890.93 and 365.93 is: 504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.74 : 890.93 = 365.93 : x
  2. Step 2: Convert to fraction form
    645.74/890.93 = 365.93/x
  3. Step 3: Cross multiply
    645.74x = 890.93 × 365.93
  4. Step 4: Simplify right side
    645.74x = 326,016.19
  5. Step 5: Solve for x
    x = 326,016.19/645.74
  6. Step 6: Final answer
    x = 504.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.