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Finding the Fourth Proportional to 647.04, 892.74 and 398.34

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Solution

The fourth proportional to 647.04, 892.74 and 398.34 is: 549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.04 : 892.74 = 398.34 : x
  2. Step 2: Convert to fraction form
    647.04/892.74 = 398.34/x
  3. Step 3: Cross multiply
    647.04x = 892.74 × 398.34
  4. Step 4: Simplify right side
    647.04x = 355,614.05
  5. Step 5: Solve for x
    x = 355,614.05/647.04
  6. Step 6: Final answer
    x = 549.60

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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.