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Finding the Fourth Proportional to 857.07, 1,187.73 and 840.66

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Solution

The fourth proportional to 857.07, 1,187.73 and 840.66 is: 1,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.07 : 1,187.73 = 840.66 : x
  2. Step 2: Convert to fraction form
    857.07/1,187.73 = 840.66/x
  3. Step 3: Cross multiply
    857.07x = 1,187.73 × 840.66
  4. Step 4: Simplify right side
    857.07x = 998,477.10
  5. Step 5: Solve for x
    x = 998,477.10/857.07
  6. Step 6: Final answer
    x = 1,164.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.