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Finding the Fourth Proportional to 645.63, 890.91 and 383.46

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Solution

The fourth proportional to 645.63, 890.91 and 383.46 is: 529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 890.91 = 383.46 : x
  2. Step 2: Convert to fraction form
    645.63/890.91 = 383.46/x
  3. Step 3: Cross multiply
    645.63x = 890.91 × 383.46
  4. Step 4: Simplify right side
    645.63x = 341,628.35
  5. Step 5: Solve for x
    x = 341,628.35/645.63
  6. Step 6: Final answer
    x = 529.14

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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.