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Finding the Fourth Proportional to 649.53, 973.73 and 302.70

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Solution

The fourth proportional to 649.53, 973.73 and 302.70 is: 453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.53 : 973.73 = 302.70 : x
  2. Step 2: Convert to fraction form
    649.53/973.73 = 302.70/x
  3. Step 3: Cross multiply
    649.53x = 973.73 × 302.70
  4. Step 4: Simplify right side
    649.53x = 294,746.56
  5. Step 5: Solve for x
    x = 294,746.56/649.53
  6. Step 6: Final answer
    x = 453.78

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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.