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Finding the Fourth Proportional to 852.10, 1,271.05 and 837.99

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Solution

The fourth proportional to 852.10, 1,271.05 and 837.99 is: 1,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.10 : 1,271.05 = 837.99 : x
  2. Step 2: Convert to fraction form
    852.10/1,271.05 = 837.99/x
  3. Step 3: Cross multiply
    852.10x = 1,271.05 × 837.99
  4. Step 4: Simplify right side
    852.10x = 1,065,128.81
  5. Step 5: Solve for x
    x = 1,065,128.81/852.10
  6. Step 6: Final answer
    x = 1,250.00

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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.