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Finding the Fourth Proportional to 469.84, 649.26 and 330.52

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Solution

The fourth proportional to 469.84, 649.26 and 330.52 is: 456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 649.26 = 330.52 : x
  2. Step 2: Convert to fraction form
    469.84/649.26 = 330.52/x
  3. Step 3: Cross multiply
    469.84x = 649.26 × 330.52
  4. Step 4: Simplify right side
    469.84x = 214,593.42
  5. Step 5: Solve for x
    x = 214,593.42/469.84
  6. Step 6: Final answer
    x = 456.74

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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.