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Finding the Fourth Proportional to 469.19, 646.23 and 439.78

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Solution

The fourth proportional to 469.19, 646.23 and 439.78 is: 605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.19 : 646.23 = 439.78 : x
  2. Step 2: Convert to fraction form
    469.19/646.23 = 439.78/x
  3. Step 3: Cross multiply
    469.19x = 646.23 × 439.78
  4. Step 4: Simplify right side
    469.19x = 284,197.80
  5. Step 5: Solve for x
    x = 284,197.80/469.19
  6. Step 6: Final answer
    x = 605.72

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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.