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Finding the Fourth Proportional to 1,228.68, 1,841.58 and 985.50

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Solution

The fourth proportional to 1,228.68, 1,841.58 and 985.50 is: 1,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.68 : 1,841.58 = 985.50 : x
  2. Step 2: Convert to fraction form
    1,228.68/1,841.58 = 985.50/x
  3. Step 3: Cross multiply
    1,228.68x = 1,841.58 × 985.50
  4. Step 4: Simplify right side
    1,228.68x = 1,814,877.09
  5. Step 5: Solve for x
    x = 1,814,877.09/1,228.68
  6. Step 6: Final answer
    x = 1,477.10

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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.