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Finding the Fourth Proportional to 1,343.53, 2,014.32 and 649.54

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Solution

The fourth proportional to 1,343.53, 2,014.32 and 649.54 is: 973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.53 : 2,014.32 = 649.54 : x
  2. Step 2: Convert to fraction form
    1,343.53/2,014.32 = 649.54/x
  3. Step 3: Cross multiply
    1,343.53x = 2,014.32 × 649.54
  4. Step 4: Simplify right side
    1,343.53x = 1,308,381.41
  5. Step 5: Solve for x
    x = 1,308,381.41/1,343.53
  6. Step 6: Final answer
    x = 973.84

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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.