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Finding the Fourth Proportional to 845.61, 1,267.81 and 400.63

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Solution

The fourth proportional to 845.61, 1,267.81 and 400.63 is: 600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.61 : 1,267.81 = 400.63 : x
  2. Step 2: Convert to fraction form
    845.61/1,267.81 = 400.63/x
  3. Step 3: Cross multiply
    845.61x = 1,267.81 × 400.63
  4. Step 4: Simplify right side
    845.61x = 507,922.72
  5. Step 5: Solve for x
    x = 507,922.72/845.61
  6. Step 6: Final answer
    x = 600.66

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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.