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Finding the Fourth Proportional to 845.58, 1,269.21 and 456.24

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Solution

The fourth proportional to 845.58, 1,269.21 and 456.24 is: 684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.58 : 1,269.21 = 456.24 : x
  2. Step 2: Convert to fraction form
    845.58/1,269.21 = 456.24/x
  3. Step 3: Cross multiply
    845.58x = 1,269.21 × 456.24
  4. Step 4: Simplify right side
    845.58x = 579,064.37
  5. Step 5: Solve for x
    x = 579,064.37/845.58
  6. Step 6: Final answer
    x = 684.81

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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.