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Finding the Fourth Proportional to 645.33, 890.69 and 383.30

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Solution

The fourth proportional to 645.33, 890.69 and 383.30 is: 529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.33 : 890.69 = 383.30 : x
  2. Step 2: Convert to fraction form
    645.33/890.69 = 383.30/x
  3. Step 3: Cross multiply
    645.33x = 890.69 × 383.30
  4. Step 4: Simplify right side
    645.33x = 341,395.11
  5. Step 5: Solve for x
    x = 341,395.11/645.33
  6. Step 6: Final answer
    x = 529.02

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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.