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Finding the Fourth Proportional to 795.70, 1,187.78 and 698.50

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Solution

The fourth proportional to 795.70, 1,187.78 and 698.50 is: 1,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.70 : 1,187.78 = 698.50 : x
  2. Step 2: Convert to fraction form
    795.70/1,187.78 = 698.50/x
  3. Step 3: Cross multiply
    795.70x = 1,187.78 × 698.50
  4. Step 4: Simplify right side
    795.70x = 829,664.33
  5. Step 5: Solve for x
    x = 829,664.33/795.70
  6. Step 6: Final answer
    x = 1,042.68

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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.