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Finding the Fourth Proportional to 1,292.54, 1,785.80 and 901.31

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Solution

The fourth proportional to 1,292.54, 1,785.80 and 901.31 is: 1,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.54 : 1,785.80 = 901.31 : x
  2. Step 2: Convert to fraction form
    1,292.54/1,785.80 = 901.31/x
  3. Step 3: Cross multiply
    1,292.54x = 1,785.80 × 901.31
  4. Step 4: Simplify right side
    1,292.54x = 1,609,554.89
  5. Step 5: Solve for x
    x = 1,609,554.89/1,292.54
  6. Step 6: Final answer
    x = 1,245.27

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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.