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Finding the Fourth Proportional to 649.41, 973.41 and 319.87

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Solution

The fourth proportional to 649.41, 973.41 and 319.87 is: 479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.41 : 973.41 = 319.87 : x
  2. Step 2: Convert to fraction form
    649.41/973.41 = 319.87/x
  3. Step 3: Cross multiply
    649.41x = 973.41 × 319.87
  4. Step 4: Simplify right side
    649.41x = 311,364.66
  5. Step 5: Solve for x
    x = 311,364.66/649.41
  6. Step 6: Final answer
    x = 479.46

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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.