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Finding the Fourth Proportional to 469.12, 647.40 and 352.48

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Solution

The fourth proportional to 469.12, 647.40 and 352.48 is: 486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.12 : 647.40 = 352.48 : x
  2. Step 2: Convert to fraction form
    469.12/647.40 = 352.48/x
  3. Step 3: Cross multiply
    469.12x = 647.40 × 352.48
  4. Step 4: Simplify right side
    469.12x = 228,195.55
  5. Step 5: Solve for x
    x = 228,195.55/469.12
  6. Step 6: Final answer
    x = 486.43

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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.