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Finding the Fourth Proportional to 1,598.64, 2,205.46 and 1,155.56

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Solution

The fourth proportional to 1,598.64, 2,205.46 and 1,155.56 is: 1,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.64 : 2,205.46 = 1,155.56 : x
  2. Step 2: Convert to fraction form
    1,598.64/2,205.46 = 1,155.56/x
  3. Step 3: Cross multiply
    1,598.64x = 2,205.46 × 1,155.56
  4. Step 4: Simplify right side
    1,598.64x = 2,548,541.36
  5. Step 5: Solve for x
    x = 2,548,541.36/1,598.64
  6. Step 6: Final answer
    x = 1,594.19

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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.