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Finding the Fourth Proportional to 1,599.33, 2,206.98 and 900.75

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Solution

The fourth proportional to 1,599.33, 2,206.98 and 900.75 is: 1,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.33 : 2,206.98 = 900.75 : x
  2. Step 2: Convert to fraction form
    1,599.33/2,206.98 = 900.75/x
  3. Step 3: Cross multiply
    1,599.33x = 2,206.98 × 900.75
  4. Step 4: Simplify right side
    1,599.33x = 1,987,937.24
  5. Step 5: Solve for x
    x = 1,987,937.24/1,599.33
  6. Step 6: Final answer
    x = 1,242.98

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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.