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Finding the Fourth Proportional to 864.63, 1,288.94 and 851.31

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Solution

The fourth proportional to 864.63, 1,288.94 and 851.31 is: 1,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.63 : 1,288.94 = 851.31 : x
  2. Step 2: Convert to fraction form
    864.63/1,288.94 = 851.31/x
  3. Step 3: Cross multiply
    864.63x = 1,288.94 × 851.31
  4. Step 4: Simplify right side
    864.63x = 1,097,283.25
  5. Step 5: Solve for x
    x = 1,097,283.25/864.63
  6. Step 6: Final answer
    x = 1,269.08

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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.