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Finding the Fourth Proportional to 719.92, 1,080.74 and 690.58

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Solution

The fourth proportional to 719.92, 1,080.74 and 690.58 is: 1,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.92 : 1,080.74 = 690.58 : x
  2. Step 2: Convert to fraction form
    719.92/1,080.74 = 690.58/x
  3. Step 3: Cross multiply
    719.92x = 1,080.74 × 690.58
  4. Step 4: Simplify right side
    719.92x = 746,333.98
  5. Step 5: Solve for x
    x = 746,333.98/719.92
  6. Step 6: Final answer
    x = 1,036.69

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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.