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Finding the Fourth Proportional to 1,012.36, 1,397.14 and 570.37

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Solution

The fourth proportional to 1,012.36, 1,397.14 and 570.37 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.36 : 1,397.14 = 570.37 : x
  2. Step 2: Convert to fraction form
    1,012.36/1,397.14 = 570.37/x
  3. Step 3: Cross multiply
    1,012.36x = 1,397.14 × 570.37
  4. Step 4: Simplify right side
    1,012.36x = 796,886.74
  5. Step 5: Solve for x
    x = 796,886.74/1,012.36
  6. Step 6: Final answer
    x = 787.16

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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.