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Finding the Fourth Proportional to 845.34, 1,261.76 and 785.25

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Solution

The fourth proportional to 845.34, 1,261.76 and 785.25 is: 1,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.34 : 1,261.76 = 785.25 : x
  2. Step 2: Convert to fraction form
    845.34/1,261.76 = 785.25/x
  3. Step 3: Cross multiply
    845.34x = 1,261.76 × 785.25
  4. Step 4: Simplify right side
    845.34x = 990,793.11
  5. Step 5: Solve for x
    x = 990,793.11/845.34
  6. Step 6: Final answer
    x = 1,172.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.