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Finding the Fourth Proportional to 1,398.08, 1,929.12 and 776.96

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Solution

The fourth proportional to 1,398.08, 1,929.12 and 776.96 is: 1,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.08 : 1,929.12 = 776.96 : x
  2. Step 2: Convert to fraction form
    1,398.08/1,929.12 = 776.96/x
  3. Step 3: Cross multiply
    1,398.08x = 1,929.12 × 776.96
  4. Step 4: Simplify right side
    1,398.08x = 1,498,849.08
  5. Step 5: Solve for x
    x = 1,498,849.08/1,398.08
  6. Step 6: Final answer
    x = 1,072.08

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