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Finding the Fourth Proportional to 645.46, 968.64 and 385.30

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Solution

The fourth proportional to 645.46, 968.64 and 385.30 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.46 : 968.64 = 385.30 : x
  2. Step 2: Convert to fraction form
    645.46/968.64 = 385.30/x
  3. Step 3: Cross multiply
    645.46x = 968.64 × 385.30
  4. Step 4: Simplify right side
    645.46x = 373,216.02
  5. Step 5: Solve for x
    x = 373,216.02/645.46
  6. Step 6: Final answer
    x = 578.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.