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Finding the Fourth Proportional to 719.51, 993.81 and 649.53

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Solution

The fourth proportional to 719.51, 993.81 and 649.53 is: 897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.51 : 993.81 = 649.53 : x
  2. Step 2: Convert to fraction form
    719.51/993.81 = 649.53/x
  3. Step 3: Cross multiply
    719.51x = 993.81 × 649.53
  4. Step 4: Simplify right side
    719.51x = 645,511.85
  5. Step 5: Solve for x
    x = 645,511.85/719.51
  6. Step 6: Final answer
    x = 897.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.