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Finding the Fourth Proportional to 469.43, 648.74 and 380.74

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Solution

The fourth proportional to 469.43, 648.74 and 380.74 is: 526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.43 : 648.74 = 380.74 : x
  2. Step 2: Convert to fraction form
    469.43/648.74 = 380.74/x
  3. Step 3: Cross multiply
    469.43x = 648.74 × 380.74
  4. Step 4: Simplify right side
    469.43x = 246,996.12
  5. Step 5: Solve for x
    x = 246,996.12/469.43
  6. Step 6: Final answer
    x = 526.16

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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.