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Finding the Fourth Proportional to 647.53, 893.72 and 385.57

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Solution

The fourth proportional to 647.53, 893.72 and 385.57 is: 532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.53 : 893.72 = 385.57 : x
  2. Step 2: Convert to fraction form
    647.53/893.72 = 385.57/x
  3. Step 3: Cross multiply
    647.53x = 893.72 × 385.57
  4. Step 4: Simplify right side
    647.53x = 344,589.69
  5. Step 5: Solve for x
    x = 344,589.69/647.53
  6. Step 6: Final answer
    x = 532.16

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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.