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Finding the Fourth Proportional to 845.76, 1,266.81 and 412

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Solution

The fourth proportional to 845.76, 1,266.81 and 412 is: 617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.76 : 1,266.81 = 412 : x
  2. Step 2: Convert to fraction form
    845.76/1,266.81 = 412/x
  3. Step 3: Cross multiply
    845.76x = 1,266.81 × 412
  4. Step 4: Simplify right side
    845.76x = 521,925.72
  5. Step 5: Solve for x
    x = 521,925.72/845.76
  6. Step 6: Final answer
    x = 617.11

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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.