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Finding the Fourth Proportional to 845.64, 1,262.55 and 729.96

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Solution

The fourth proportional to 845.64, 1,262.55 and 729.96 is: 1,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.64 : 1,262.55 = 729.96 : x
  2. Step 2: Convert to fraction form
    845.64/1,262.55 = 729.96/x
  3. Step 3: Cross multiply
    845.64x = 1,262.55 × 729.96
  4. Step 4: Simplify right side
    845.64x = 921,611.00
  5. Step 5: Solve for x
    x = 921,611.00/845.64
  6. Step 6: Final answer
    x = 1,089.84

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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.