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Finding the Fourth Proportional to 649.68, 972.97 and 356.74

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Solution

The fourth proportional to 649.68, 972.97 and 356.74 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.68 : 972.97 = 356.74 : x
  2. Step 2: Convert to fraction form
    649.68/972.97 = 356.74/x
  3. Step 3: Cross multiply
    649.68x = 972.97 × 356.74
  4. Step 4: Simplify right side
    649.68x = 347,093.99
  5. Step 5: Solve for x
    x = 347,093.99/649.68
  6. Step 6: Final answer
    x = 534.25

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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.