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Finding the Fourth Proportional to 470.75, 649.24 and 383.27

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Solution

The fourth proportional to 470.75, 649.24 and 383.27 is: 528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 649.24 = 383.27 : x
  2. Step 2: Convert to fraction form
    470.75/649.24 = 383.27/x
  3. Step 3: Cross multiply
    470.75x = 649.24 × 383.27
  4. Step 4: Simplify right side
    470.75x = 248,834.88
  5. Step 5: Solve for x
    x = 248,834.88/470.75
  6. Step 6: Final answer
    x = 528.59

Related Problems

Find fourth proportional to 235.38, 324.62 and 191.64
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Double scale
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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.