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Finding the Fourth Proportional to 888.40, 1,223.16 and 783.40

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Solution

The fourth proportional to 888.40, 1,223.16 and 783.40 is: 1,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.40 : 1,223.16 = 783.40 : x
  2. Step 2: Convert to fraction form
    888.40/1,223.16 = 783.40/x
  3. Step 3: Cross multiply
    888.40x = 1,223.16 × 783.40
  4. Step 4: Simplify right side
    888.40x = 958,223.54
  5. Step 5: Solve for x
    x = 958,223.54/888.40
  6. Step 6: Final answer
    x = 1,078.59

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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.