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Finding the Fourth Proportional to 798.32, 1,095.59 and 777.67

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Solution

The fourth proportional to 798.32, 1,095.59 and 777.67 is: 1,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.32 : 1,095.59 = 777.67 : x
  2. Step 2: Convert to fraction form
    798.32/1,095.59 = 777.67/x
  3. Step 3: Cross multiply
    798.32x = 1,095.59 × 777.67
  4. Step 4: Simplify right side
    798.32x = 852,006.68
  5. Step 5: Solve for x
    x = 852,006.68/798.32
  6. Step 6: Final answer
    x = 1,067.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.