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Finding the Fourth Proportional to 1,431.68, 1,974.98 and 841.64

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Solution

The fourth proportional to 1,431.68, 1,974.98 and 841.64 is: 1,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.68 : 1,974.98 = 841.64 : x
  2. Step 2: Convert to fraction form
    1,431.68/1,974.98 = 841.64/x
  3. Step 3: Cross multiply
    1,431.68x = 1,974.98 × 841.64
  4. Step 4: Simplify right side
    1,431.68x = 1,662,214.40
  5. Step 5: Solve for x
    x = 1,662,214.40/1,431.68
  6. Step 6: Final answer
    x = 1,161.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.