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Finding the Fourth Proportional to 1,395.71, 2,091.01 and 653.96

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Solution

The fourth proportional to 1,395.71, 2,091.01 and 653.96 is: 979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.71 : 2,091.01 = 653.96 : x
  2. Step 2: Convert to fraction form
    1,395.71/2,091.01 = 653.96/x
  3. Step 3: Cross multiply
    1,395.71x = 2,091.01 × 653.96
  4. Step 4: Simplify right side
    1,395.71x = 1,367,423.17
  5. Step 5: Solve for x
    x = 1,367,423.17/1,395.71
  6. Step 6: Final answer
    x = 979.74

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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.