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Finding the Fourth Proportional to 1,271.44, 1,754.33 and 917.89

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Solution

The fourth proportional to 1,271.44, 1,754.33 and 917.89 is: 1,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.44 : 1,754.33 = 917.89 : x
  2. Step 2: Convert to fraction form
    1,271.44/1,754.33 = 917.89/x
  3. Step 3: Cross multiply
    1,271.44x = 1,754.33 × 917.89
  4. Step 4: Simplify right side
    1,271.44x = 1,610,281.96
  5. Step 5: Solve for x
    x = 1,610,281.96/1,271.44
  6. Step 6: Final answer
    x = 1,266.50

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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.