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Finding the Fourth Proportional to 647.66, 893.88 and 385.82

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Solution

The fourth proportional to 647.66, 893.88 and 385.82 is: 532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.66 : 893.88 = 385.82 : x
  2. Step 2: Convert to fraction form
    647.66/893.88 = 385.82/x
  3. Step 3: Cross multiply
    647.66x = 893.88 × 385.82
  4. Step 4: Simplify right side
    647.66x = 344,876.78
  5. Step 5: Solve for x
    x = 344,876.78/647.66
  6. Step 6: Final answer
    x = 532.50

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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.