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Finding the Fourth Proportional to 1,012.73, 1,397.56 and 570.63

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Solution

The fourth proportional to 1,012.73, 1,397.56 and 570.63 is: 787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.73 : 1,397.56 = 570.63 : x
  2. Step 2: Convert to fraction form
    1,012.73/1,397.56 = 570.63/x
  3. Step 3: Cross multiply
    1,012.73x = 1,397.56 × 570.63
  4. Step 4: Simplify right side
    1,012.73x = 797,489.66
  5. Step 5: Solve for x
    x = 797,489.66/1,012.73
  6. Step 6: Final answer
    x = 787.47

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