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Finding the Fourth Proportional to 1,266.65, 1,899.61 and 486.59

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Solution

The fourth proportional to 1,266.65, 1,899.61 and 486.59 is: 729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.65 : 1,899.61 = 486.59 : x
  2. Step 2: Convert to fraction form
    1,266.65/1,899.61 = 486.59/x
  3. Step 3: Cross multiply
    1,266.65x = 1,899.61 × 486.59
  4. Step 4: Simplify right side
    1,266.65x = 924,334.76
  5. Step 5: Solve for x
    x = 924,334.76/1,266.65
  6. Step 6: Final answer
    x = 729.75

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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.