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Finding the Fourth Proportional to 864.61, 1,285.81 and 837.27

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Solution

The fourth proportional to 864.61, 1,285.81 and 837.27 is: 1,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.61 : 1,285.81 = 837.27 : x
  2. Step 2: Convert to fraction form
    864.61/1,285.81 = 837.27/x
  3. Step 3: Cross multiply
    864.61x = 1,285.81 × 837.27
  4. Step 4: Simplify right side
    864.61x = 1,076,568.05
  5. Step 5: Solve for x
    x = 1,076,568.05/864.61
  6. Step 6: Final answer
    x = 1,245.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.