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Finding the Fourth Proportional to 647.01, 892.71 and 384.96

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Solution

The fourth proportional to 647.01, 892.71 and 384.96 is: 531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.01 : 892.71 = 384.96 : x
  2. Step 2: Convert to fraction form
    647.01/892.71 = 384.96/x
  3. Step 3: Cross multiply
    647.01x = 892.71 × 384.96
  4. Step 4: Simplify right side
    647.01x = 343,657.64
  5. Step 5: Solve for x
    x = 343,657.64/647.01
  6. Step 6: Final answer
    x = 531.15

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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.