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Finding the Fourth Proportional to 1,010.13, 1,393.36 and 678.43

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Solution

The fourth proportional to 1,010.13, 1,393.36 and 678.43 is: 935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.13 : 1,393.36 = 678.43 : x
  2. Step 2: Convert to fraction form
    1,010.13/1,393.36 = 678.43/x
  3. Step 3: Cross multiply
    1,010.13x = 1,393.36 × 678.43
  4. Step 4: Simplify right side
    1,010.13x = 945,297.22
  5. Step 5: Solve for x
    x = 945,297.22/1,010.13
  6. Step 6: Final answer
    x = 935.82

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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.