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Finding the Fourth Proportional to 1,012.13, 1,396.80 and 570.05

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Solution

The fourth proportional to 1,012.13, 1,396.80 and 570.05 is: 786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.13 : 1,396.80 = 570.05 : x
  2. Step 2: Convert to fraction form
    1,012.13/1,396.80 = 570.05/x
  3. Step 3: Cross multiply
    1,012.13x = 1,396.80 × 570.05
  4. Step 4: Simplify right side
    1,012.13x = 796,245.84
  5. Step 5: Solve for x
    x = 796,245.84/1,012.13
  6. Step 6: Final answer
    x = 786.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.