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Finding the Fourth Proportional to 646.35, 970.11 and 299.91

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Solution

The fourth proportional to 646.35, 970.11 and 299.91 is: 450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.35 : 970.11 = 299.91 : x
  2. Step 2: Convert to fraction form
    646.35/970.11 = 299.91/x
  3. Step 3: Cross multiply
    646.35x = 970.11 × 299.91
  4. Step 4: Simplify right side
    646.35x = 290,945.69
  5. Step 5: Solve for x
    x = 290,945.69/646.35
  6. Step 6: Final answer
    x = 450.14

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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.