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Finding the Fourth Proportional to 645.84, 890.16 and 412.56

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Solution

The fourth proportional to 645.84, 890.16 and 412.56 is: 568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 890.16 = 412.56 : x
  2. Step 2: Convert to fraction form
    645.84/890.16 = 412.56/x
  3. Step 3: Cross multiply
    645.84x = 890.16 × 412.56
  4. Step 4: Simplify right side
    645.84x = 367,244.41
  5. Step 5: Solve for x
    x = 367,244.41/645.84
  6. Step 6: Final answer
    x = 568.63

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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.