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Finding the Fourth Proportional to 647.48, 893.74 and 385.48

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Solution

The fourth proportional to 647.48, 893.74 and 385.48 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.48 : 893.74 = 385.48 : x
  2. Step 2: Convert to fraction form
    647.48/893.74 = 385.48/x
  3. Step 3: Cross multiply
    647.48x = 893.74 × 385.48
  4. Step 4: Simplify right side
    647.48x = 344,518.90
  5. Step 5: Solve for x
    x = 344,518.90/647.48
  6. Step 6: Final answer
    x = 532.09

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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.