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Finding the Fourth Proportional to 851.19, 1,275.01 and 821.81

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Solution

The fourth proportional to 851.19, 1,275.01 and 821.81 is: 1,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.19 : 1,275.01 = 821.81 : x
  2. Step 2: Convert to fraction form
    851.19/1,275.01 = 821.81/x
  3. Step 3: Cross multiply
    851.19x = 1,275.01 × 821.81
  4. Step 4: Simplify right side
    851.19x = 1,047,817.10
  5. Step 5: Solve for x
    x = 1,047,817.10/851.19
  6. Step 6: Final answer
    x = 1,231.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.