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Finding the Fourth Proportional to 645.38, 890.69 and 365.69

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Solution

The fourth proportional to 645.38, 890.69 and 365.69 is: 504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.38 : 890.69 = 365.69 : x
  2. Step 2: Convert to fraction form
    645.38/890.69 = 365.69/x
  3. Step 3: Cross multiply
    645.38x = 890.69 × 365.69
  4. Step 4: Simplify right side
    645.38x = 325,715.35
  5. Step 5: Solve for x
    x = 325,715.35/645.38
  6. Step 6: Final answer
    x = 504.69

Related Problems

Find fourth proportional to 322.69, 445.34 and 182.84
Half scale
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Double scale
Find fourth proportional to 646.38, 892.07 and 366.69
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.