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Finding the Fourth Proportional to 469.78, 647.13 and 439.54

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Solution

The fourth proportional to 469.78, 647.13 and 439.54 is: 605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.78 : 647.13 = 439.54 : x
  2. Step 2: Convert to fraction form
    469.78/647.13 = 439.54/x
  3. Step 3: Cross multiply
    469.78x = 647.13 × 439.54
  4. Step 4: Simplify right side
    469.78x = 284,439.52
  5. Step 5: Solve for x
    x = 284,439.52/469.78
  6. Step 6: Final answer
    x = 605.47

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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.