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Finding the Fourth Proportional to 649.46, 973.32 and 375.41

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Solution

The fourth proportional to 649.46, 973.32 and 375.41 is: 562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.46 : 973.32 = 375.41 : x
  2. Step 2: Convert to fraction form
    649.46/973.32 = 375.41/x
  3. Step 3: Cross multiply
    649.46x = 973.32 × 375.41
  4. Step 4: Simplify right side
    649.46x = 365,389.19
  5. Step 5: Solve for x
    x = 365,389.19/649.46
  6. Step 6: Final answer
    x = 562.61

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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.