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Finding the Fourth Proportional to 1,471.00, 2,205.48 and 546.05

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Solution

The fourth proportional to 1,471.00, 2,205.48 and 546.05 is: 818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.00 : 2,205.48 = 546.05 : x
  2. Step 2: Convert to fraction form
    1,471.00/2,205.48 = 546.05/x
  3. Step 3: Cross multiply
    1,471.00x = 2,205.48 × 546.05
  4. Step 4: Simplify right side
    1,471.00x = 1,204,307.87
  5. Step 5: Solve for x
    x = 1,204,307.87/1,471.00
  6. Step 6: Final answer
    x = 818.70

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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.