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Finding the Fourth Proportional to 1,885.47, 2,828.20 and 653.05

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Solution

The fourth proportional to 1,885.47, 2,828.20 and 653.05 is: 979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.47 : 2,828.20 = 653.05 : x
  2. Step 2: Convert to fraction form
    1,885.47/2,828.20 = 653.05/x
  3. Step 3: Cross multiply
    1,885.47x = 2,828.20 × 653.05
  4. Step 4: Simplify right side
    1,885.47x = 1,846,956.01
  5. Step 5: Solve for x
    x = 1,846,956.01/1,885.47
  6. Step 6: Final answer
    x = 979.57

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1.5x scale

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.