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Finding the Fourth Proportional to 470.98, 649.51 and 305.13

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Solution

The fourth proportional to 470.98, 649.51 and 305.13 is: 420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.98 : 649.51 = 305.13 : x
  2. Step 2: Convert to fraction form
    470.98/649.51 = 305.13/x
  3. Step 3: Cross multiply
    470.98x = 649.51 × 305.13
  4. Step 4: Simplify right side
    470.98x = 198,184.99
  5. Step 5: Solve for x
    x = 198,184.99/470.98
  6. Step 6: Final answer
    x = 420.79

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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.