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Finding the Fourth Proportional to 470.83, 702.26 and 443.72

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Solution

The fourth proportional to 470.83, 702.26 and 443.72 is: 661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.83 : 702.26 = 443.72 : x
  2. Step 2: Convert to fraction form
    470.83/702.26 = 443.72/x
  3. Step 3: Cross multiply
    470.83x = 702.26 × 443.72
  4. Step 4: Simplify right side
    470.83x = 311,609.67
  5. Step 5: Solve for x
    x = 311,609.67/470.83
  6. Step 6: Final answer
    x = 661.83

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.