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Finding the Fourth Proportional to 647.14, 892.98 and 385.10

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Solution

The fourth proportional to 647.14, 892.98 and 385.10 is: 531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.14 : 892.98 = 385.10 : x
  2. Step 2: Convert to fraction form
    647.14/892.98 = 385.10/x
  3. Step 3: Cross multiply
    647.14x = 892.98 × 385.10
  4. Step 4: Simplify right side
    647.14x = 343,886.60
  5. Step 5: Solve for x
    x = 343,886.60/647.14
  6. Step 6: Final answer
    x = 531.39

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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.