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Finding the Fourth Proportional to 1,398.26, 1,929.58 and 777.26

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Solution

The fourth proportional to 1,398.26, 1,929.58 and 777.26 is: 1,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.26 : 1,929.58 = 777.26 : x
  2. Step 2: Convert to fraction form
    1,398.26/1,929.58 = 777.26/x
  3. Step 3: Cross multiply
    1,398.26x = 1,929.58 × 777.26
  4. Step 4: Simplify right side
    1,398.26x = 1,499,785.35
  5. Step 5: Solve for x
    x = 1,499,785.35/1,398.26
  6. Step 6: Final answer
    x = 1,072.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.