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Finding the Fourth Proportional to 646.79, 970.70 and 236.33

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Solution

The fourth proportional to 646.79, 970.70 and 236.33 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.79 : 970.70 = 236.33 : x
  2. Step 2: Convert to fraction form
    646.79/970.70 = 236.33/x
  3. Step 3: Cross multiply
    646.79x = 970.70 × 236.33
  4. Step 4: Simplify right side
    646.79x = 229,399.50
  5. Step 5: Solve for x
    x = 229,399.50/646.79
  6. Step 6: Final answer
    x = 354.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.