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Finding the Fourth Proportional to 1,254.66, 1,885.62 and 605.85

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Solution

The fourth proportional to 1,254.66, 1,885.62 and 605.85 is: 910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.66 : 1,885.62 = 605.85 : x
  2. Step 2: Convert to fraction form
    1,254.66/1,885.62 = 605.85/x
  3. Step 3: Cross multiply
    1,254.66x = 1,885.62 × 605.85
  4. Step 4: Simplify right side
    1,254.66x = 1,142,402.88
  5. Step 5: Solve for x
    x = 1,142,402.88/1,254.66
  6. Step 6: Final answer
    x = 910.53

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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.