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Finding the Fourth Proportional to 845.01, 1,266.12 and 382.14

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Solution

The fourth proportional to 845.01, 1,266.12 and 382.14 is: 572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.01 : 1,266.12 = 382.14 : x
  2. Step 2: Convert to fraction form
    845.01/1,266.12 = 382.14/x
  3. Step 3: Cross multiply
    845.01x = 1,266.12 × 382.14
  4. Step 4: Simplify right side
    845.01x = 483,835.10
  5. Step 5: Solve for x
    x = 483,835.10/845.01
  6. Step 6: Final answer
    x = 572.58

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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.