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Finding the Fourth Proportional to 845.72, 1,265.70 and 783.80

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Solution

The fourth proportional to 845.72, 1,265.70 and 783.80 is: 1,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.72 : 1,265.70 = 783.80 : x
  2. Step 2: Convert to fraction form
    845.72/1,265.70 = 783.80/x
  3. Step 3: Cross multiply
    845.72x = 1,265.70 × 783.80
  4. Step 4: Simplify right side
    845.72x = 992,055.66
  5. Step 5: Solve for x
    x = 992,055.66/845.72
  6. Step 6: Final answer
    x = 1,173.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.