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Finding the Fourth Proportional to 845.64, 1,166.56 and 729

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Solution

The fourth proportional to 845.64, 1,166.56 and 729 is: 1,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.64 : 1,166.56 = 729 : x
  2. Step 2: Convert to fraction form
    845.64/1,166.56 = 729/x
  3. Step 3: Cross multiply
    845.64x = 1,166.56 × 729
  4. Step 4: Simplify right side
    845.64x = 850,422.24
  5. Step 5: Solve for x
    x = 850,422.24/845.64
  6. Step 6: Final answer
    x = 1,005.66

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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.