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Finding the Fourth Proportional to 1,266.41, 1,899.16 and 486.01

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Solution

The fourth proportional to 1,266.41, 1,899.16 and 486.01 is: 728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.41 : 1,899.16 = 486.01 : x
  2. Step 2: Convert to fraction form
    1,266.41/1,899.16 = 486.01/x
  3. Step 3: Cross multiply
    1,266.41x = 1,899.16 × 486.01
  4. Step 4: Simplify right side
    1,266.41x = 923,009.26
  5. Step 5: Solve for x
    x = 923,009.26/1,266.41
  6. Step 6: Final answer
    x = 728.84

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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.