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Finding the Fourth Proportional to 851.40, 1,271.36 and 846.28

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Solution

The fourth proportional to 851.40, 1,271.36 and 846.28 is: 1,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.40 : 1,271.36 = 846.28 : x
  2. Step 2: Convert to fraction form
    851.40/1,271.36 = 846.28/x
  3. Step 3: Cross multiply
    851.40x = 1,271.36 × 846.28
  4. Step 4: Simplify right side
    851.40x = 1,075,926.54
  5. Step 5: Solve for x
    x = 1,075,926.54/851.40
  6. Step 6: Final answer
    x = 1,263.71

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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.