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Finding the Fourth Proportional to 851.84, 1,271.36 and 753.28

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Solution

The fourth proportional to 851.84, 1,271.36 and 753.28 is: 1,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.84 : 1,271.36 = 753.28 : x
  2. Step 2: Convert to fraction form
    851.84/1,271.36 = 753.28/x
  3. Step 3: Cross multiply
    851.84x = 1,271.36 × 753.28
  4. Step 4: Simplify right side
    851.84x = 957,690.06
  5. Step 5: Solve for x
    x = 957,690.06/851.84
  6. Step 6: Final answer
    x = 1,124.26

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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.