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Finding the Fourth Proportional to 1,599.99, 2,205.95 and 1,009.50

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Solution

The fourth proportional to 1,599.99, 2,205.95 and 1,009.50 is: 1,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.99 : 2,205.95 = 1,009.50 : x
  2. Step 2: Convert to fraction form
    1,599.99/2,205.95 = 1,009.50/x
  3. Step 3: Cross multiply
    1,599.99x = 2,205.95 × 1,009.50
  4. Step 4: Simplify right side
    1,599.99x = 2,226,901.48
  5. Step 5: Solve for x
    x = 2,226,901.48/1,599.99
  6. Step 6: Final answer
    x = 1,391.82

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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.