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Finding the Fourth Proportional to 645.02, 890.06 and 365.16

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Solution

The fourth proportional to 645.02, 890.06 and 365.16 is: 503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.02 : 890.06 = 365.16 : x
  2. Step 2: Convert to fraction form
    645.02/890.06 = 365.16/x
  3. Step 3: Cross multiply
    645.02x = 890.06 × 365.16
  4. Step 4: Simplify right side
    645.02x = 325,014.31
  5. Step 5: Solve for x
    x = 325,014.31/645.02
  6. Step 6: Final answer
    x = 503.88

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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.