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Finding the Fourth Proportional to 845.42, 1,269.54 and 522.84

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Solution

The fourth proportional to 845.42, 1,269.54 and 522.84 is: 785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.42 : 1,269.54 = 522.84 : x
  2. Step 2: Convert to fraction form
    845.42/1,269.54 = 522.84/x
  3. Step 3: Cross multiply
    845.42x = 1,269.54 × 522.84
  4. Step 4: Simplify right side
    845.42x = 663,766.29
  5. Step 5: Solve for x
    x = 663,766.29/845.42
  6. Step 6: Final answer
    x = 785.13

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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.