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Finding the Fourth Proportional to 1,012.83, 1,519.01 and 282.47

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Solution

The fourth proportional to 1,012.83, 1,519.01 and 282.47 is: 423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.83 : 1,519.01 = 282.47 : x
  2. Step 2: Convert to fraction form
    1,012.83/1,519.01 = 282.47/x
  3. Step 3: Cross multiply
    1,012.83x = 1,519.01 × 282.47
  4. Step 4: Simplify right side
    1,012.83x = 429,066.81
  5. Step 5: Solve for x
    x = 429,066.81/1,012.83
  6. Step 6: Final answer
    x = 423.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.