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Finding the Fourth Proportional to 1,012.95, 1,518.75 and 818.19

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Solution

The fourth proportional to 1,012.95, 1,518.75 and 818.19 is: 1,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.95 : 1,518.75 = 818.19 : x
  2. Step 2: Convert to fraction form
    1,012.95/1,518.75 = 818.19/x
  3. Step 3: Cross multiply
    1,012.95x = 1,518.75 × 818.19
  4. Step 4: Simplify right side
    1,012.95x = 1,242,626.06
  5. Step 5: Solve for x
    x = 1,242,626.06/1,012.95
  6. Step 6: Final answer
    x = 1,226.74

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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.