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Finding the Fourth Proportional to 645.11, 890.24 and 365.30

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Solution

The fourth proportional to 645.11, 890.24 and 365.30 is: 504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.11 : 890.24 = 365.30 : x
  2. Step 2: Convert to fraction form
    645.11/890.24 = 365.30/x
  3. Step 3: Cross multiply
    645.11x = 890.24 × 365.30
  4. Step 4: Simplify right side
    645.11x = 325,204.67
  5. Step 5: Solve for x
    x = 325,204.67/645.11
  6. Step 6: Final answer
    x = 504.11

Related Problems

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Double scale
Find fourth proportional to 646.11, 891.62 and 366.30
Similar ratio
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1.5x scale

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.