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Finding the Fourth Proportional to 719.16, 1,077.53 and 626.82

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Solution

The fourth proportional to 719.16, 1,077.53 and 626.82 is: 939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.16 : 1,077.53 = 626.82 : x
  2. Step 2: Convert to fraction form
    719.16/1,077.53 = 626.82/x
  3. Step 3: Cross multiply
    719.16x = 1,077.53 × 626.82
  4. Step 4: Simplify right side
    719.16x = 675,414.22
  5. Step 5: Solve for x
    x = 675,414.22/719.16
  6. Step 6: Final answer
    x = 939.17

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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.