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Finding the Fourth Proportional to 470.76, 649.41 and 284.19

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Solution

The fourth proportional to 470.76, 649.41 and 284.19 is: 392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 649.41 = 284.19 : x
  2. Step 2: Convert to fraction form
    470.76/649.41 = 284.19/x
  3. Step 3: Cross multiply
    470.76x = 649.41 × 284.19
  4. Step 4: Simplify right side
    470.76x = 184,555.83
  5. Step 5: Solve for x
    x = 184,555.83/470.76
  6. Step 6: Final answer
    x = 392.04

Related Problems

Find fourth proportional to 235.38, 324.71 and 142.10
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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.