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Finding the Fourth Proportional to 1,087.64, 1,628.40 and 846.98

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Solution

The fourth proportional to 1,087.64, 1,628.40 and 846.98 is: 1,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.64 : 1,628.40 = 846.98 : x
  2. Step 2: Convert to fraction form
    1,087.64/1,628.40 = 846.98/x
  3. Step 3: Cross multiply
    1,087.64x = 1,628.40 × 846.98
  4. Step 4: Simplify right side
    1,087.64x = 1,379,222.23
  5. Step 5: Solve for x
    x = 1,379,222.23/1,087.64
  6. Step 6: Final answer
    x = 1,268.09

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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.