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Finding the Fourth Proportional to 1,266.18, 1,897.97 and 485.97

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Solution

The fourth proportional to 1,266.18, 1,897.97 and 485.97 is: 728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.18 : 1,897.97 = 485.97 : x
  2. Step 2: Convert to fraction form
    1,266.18/1,897.97 = 485.97/x
  3. Step 3: Cross multiply
    1,266.18x = 1,897.97 × 485.97
  4. Step 4: Simplify right side
    1,266.18x = 922,354.05
  5. Step 5: Solve for x
    x = 922,354.05/1,266.18
  6. Step 6: Final answer
    x = 728.45

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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.