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Finding the Fourth Proportional to 1,012.13, 1,396.75 and 570.04

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Solution

The fourth proportional to 1,012.13, 1,396.75 and 570.04 is: 786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.13 : 1,396.75 = 570.04 : x
  2. Step 2: Convert to fraction form
    1,012.13/1,396.75 = 570.04/x
  3. Step 3: Cross multiply
    1,012.13x = 1,396.75 × 570.04
  4. Step 4: Simplify right side
    1,012.13x = 796,203.69
  5. Step 5: Solve for x
    x = 796,203.69/1,012.13
  6. Step 6: Final answer
    x = 786.66

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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.