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Finding the Fourth Proportional to 894.24, 1,340.16 and 778.14

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Solution

The fourth proportional to 894.24, 1,340.16 and 778.14 is: 1,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.24 : 1,340.16 = 778.14 : x
  2. Step 2: Convert to fraction form
    894.24/1,340.16 = 778.14/x
  3. Step 3: Cross multiply
    894.24x = 1,340.16 × 778.14
  4. Step 4: Simplify right side
    894.24x = 1,042,832.10
  5. Step 5: Solve for x
    x = 1,042,832.10/894.24
  6. Step 6: Final answer
    x = 1,166.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.