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Finding the Fourth Proportional to 1,014.13, 1,519.81 and 493.10

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Solution

The fourth proportional to 1,014.13, 1,519.81 and 493.10 is: 738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.13 : 1,519.81 = 493.10 : x
  2. Step 2: Convert to fraction form
    1,014.13/1,519.81 = 493.10/x
  3. Step 3: Cross multiply
    1,014.13x = 1,519.81 × 493.10
  4. Step 4: Simplify right side
    1,014.13x = 749,415.18
  5. Step 5: Solve for x
    x = 749,415.18/1,014.13
  6. Step 6: Final answer
    x = 738.97

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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.