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Finding the Fourth Proportional to 1,208.88, 1,667.76 and 894.90

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Solution

The fourth proportional to 1,208.88, 1,667.76 and 894.90 is: 1,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.88 : 1,667.76 = 894.90 : x
  2. Step 2: Convert to fraction form
    1,208.88/1,667.76 = 894.90/x
  3. Step 3: Cross multiply
    1,208.88x = 1,667.76 × 894.90
  4. Step 4: Simplify right side
    1,208.88x = 1,492,478.42
  5. Step 5: Solve for x
    x = 1,492,478.42/1,208.88
  6. Step 6: Final answer
    x = 1,234.60

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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.