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Finding the Fourth Proportional to 645, 890.08 and 365.23

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Solution

The fourth proportional to 645, 890.08 and 365.23 is: 504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645 : 890.08 = 365.23 : x
  2. Step 2: Convert to fraction form
    645/890.08 = 365.23/x
  3. Step 3: Cross multiply
    645x = 890.08 × 365.23
  4. Step 4: Simplify right side
    645x = 325,083.92
  5. Step 5: Solve for x
    x = 325,083.92/645
  6. Step 6: Final answer
    x = 504.01

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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.