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Finding the Fourth Proportional to 1,598.66, 2,383.64 and 1,569.50

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Solution

The fourth proportional to 1,598.66, 2,383.64 and 1,569.50 is: 2,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.66 : 2,383.64 = 1,569.50 : x
  2. Step 2: Convert to fraction form
    1,598.66/2,383.64 = 1,569.50/x
  3. Step 3: Cross multiply
    1,598.66x = 2,383.64 × 1,569.50
  4. Step 4: Simplify right side
    1,598.66x = 3,741,122.98
  5. Step 5: Solve for x
    x = 3,741,122.98/1,598.66
  6. Step 6: Final answer
    x = 2,340.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.