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Finding the Fourth Proportional to 470.69, 649.55 and 263.69

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Solution

The fourth proportional to 470.69, 649.55 and 263.69 is: 363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 649.55 = 263.69 : x
  2. Step 2: Convert to fraction form
    470.69/649.55 = 263.69/x
  3. Step 3: Cross multiply
    470.69x = 649.55 × 263.69
  4. Step 4: Simplify right side
    470.69x = 171,279.84
  5. Step 5: Solve for x
    x = 171,279.84/470.69
  6. Step 6: Final answer
    x = 363.89

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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.