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Finding the Fourth Proportional to 845.78, 1,167.09 and 496.40

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Solution

The fourth proportional to 845.78, 1,167.09 and 496.40 is: 684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.78 : 1,167.09 = 496.40 : x
  2. Step 2: Convert to fraction form
    845.78/1,167.09 = 496.40/x
  3. Step 3: Cross multiply
    845.78x = 1,167.09 × 496.40
  4. Step 4: Simplify right side
    845.78x = 579,343.48
  5. Step 5: Solve for x
    x = 579,343.48/845.78
  6. Step 6: Final answer
    x = 684.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.