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Finding the Fourth Proportional to 1,220.07, 1,827.93 and 1,056.99

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Solution

The fourth proportional to 1,220.07, 1,827.93 and 1,056.99 is: 1,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.07 : 1,827.93 = 1,056.99 : x
  2. Step 2: Convert to fraction form
    1,220.07/1,827.93 = 1,056.99/x
  3. Step 3: Cross multiply
    1,220.07x = 1,827.93 × 1,056.99
  4. Step 4: Simplify right side
    1,220.07x = 1,932,103.73
  5. Step 5: Solve for x
    x = 1,932,103.73/1,220.07
  6. Step 6: Final answer
    x = 1,583.60

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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.