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Finding the Fourth Proportional to 470.07, 648.78 and 283.71

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Solution

The fourth proportional to 470.07, 648.78 and 283.71 is: 391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.07 : 648.78 = 283.71 : x
  2. Step 2: Convert to fraction form
    470.07/648.78 = 283.71/x
  3. Step 3: Cross multiply
    470.07x = 648.78 × 283.71
  4. Step 4: Simplify right side
    470.07x = 184,065.37
  5. Step 5: Solve for x
    x = 184,065.37/470.07
  6. Step 6: Final answer
    x = 391.57

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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.