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Finding the Fourth Proportional to 719.98, 1,074.95 and 641.61

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Solution

The fourth proportional to 719.98, 1,074.95 and 641.61 is: 957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.98 : 1,074.95 = 641.61 : x
  2. Step 2: Convert to fraction form
    719.98/1,074.95 = 641.61/x
  3. Step 3: Cross multiply
    719.98x = 1,074.95 × 641.61
  4. Step 4: Simplify right side
    719.98x = 689,698.67
  5. Step 5: Solve for x
    x = 689,698.67/719.98
  6. Step 6: Final answer
    x = 957.94

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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.