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Finding the Fourth Proportional to 845.64, 1,269.18 and 675.72

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Solution

The fourth proportional to 845.64, 1,269.18 and 675.72 is: 1,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.64 : 1,269.18 = 675.72 : x
  2. Step 2: Convert to fraction form
    845.64/1,269.18 = 675.72/x
  3. Step 3: Cross multiply
    845.64x = 1,269.18 × 675.72
  4. Step 4: Simplify right side
    845.64x = 857,610.31
  5. Step 5: Solve for x
    x = 857,610.31/845.64
  6. Step 6: Final answer
    x = 1,014.16

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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.