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Finding the Fourth Proportional to 1,827.25, 2,740.57 and 657.02

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Solution

The fourth proportional to 1,827.25, 2,740.57 and 657.02 is: 985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.25 : 2,740.57 = 657.02 : x
  2. Step 2: Convert to fraction form
    1,827.25/2,740.57 = 657.02/x
  3. Step 3: Cross multiply
    1,827.25x = 2,740.57 × 657.02
  4. Step 4: Simplify right side
    1,827.25x = 1,800,598.01
  5. Step 5: Solve for x
    x = 1,800,598.01/1,827.25
  6. Step 6: Final answer
    x = 985.41

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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.