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Finding the Fourth Proportional to 719.46, 1,069.50 and 697.58

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Solution

The fourth proportional to 719.46, 1,069.50 and 697.58 is: 1,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.46 : 1,069.50 = 697.58 : x
  2. Step 2: Convert to fraction form
    719.46/1,069.50 = 697.58/x
  3. Step 3: Cross multiply
    719.46x = 1,069.50 × 697.58
  4. Step 4: Simplify right side
    719.46x = 746,061.81
  5. Step 5: Solve for x
    x = 746,061.81/719.46
  6. Step 6: Final answer
    x = 1,036.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.