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Finding the Fourth Proportional to 845.85, 1,269.08 and 359.24

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Solution

The fourth proportional to 845.85, 1,269.08 and 359.24 is: 538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.85 : 1,269.08 = 359.24 : x
  2. Step 2: Convert to fraction form
    845.85/1,269.08 = 359.24/x
  3. Step 3: Cross multiply
    845.85x = 1,269.08 × 359.24
  4. Step 4: Simplify right side
    845.85x = 455,904.30
  5. Step 5: Solve for x
    x = 455,904.30/845.85
  6. Step 6: Final answer
    x = 538.99

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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.