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Finding the Fourth Proportional to 1,599.99, 2,208.51 and 1,002.75

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Solution

The fourth proportional to 1,599.99, 2,208.51 and 1,002.75 is: 1,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.99 : 2,208.51 = 1,002.75 : x
  2. Step 2: Convert to fraction form
    1,599.99/2,208.51 = 1,002.75/x
  3. Step 3: Cross multiply
    1,599.99x = 2,208.51 × 1,002.75
  4. Step 4: Simplify right side
    1,599.99x = 2,214,583.40
  5. Step 5: Solve for x
    x = 2,214,583.40/1,599.99
  6. Step 6: Final answer
    x = 1,384.12

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1.5x scale

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.