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Finding the Fourth Proportional to 845.00, 1,166.29 and 495.80

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Solution

The fourth proportional to 845.00, 1,166.29 and 495.80 is: 684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.00 : 1,166.29 = 495.80 : x
  2. Step 2: Convert to fraction form
    845.00/1,166.29 = 495.80/x
  3. Step 3: Cross multiply
    845.00x = 1,166.29 × 495.80
  4. Step 4: Simplify right side
    845.00x = 578,239.51
  5. Step 5: Solve for x
    x = 578,239.51/845.00
  6. Step 6: Final answer
    x = 684.31

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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.