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Finding the Fourth Proportional to 1,599.66, 2,206.87 and 970.02

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Solution

The fourth proportional to 1,599.66, 2,206.87 and 970.02 is: 1,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.66 : 2,206.87 = 970.02 : x
  2. Step 2: Convert to fraction form
    1,599.66/2,206.87 = 970.02/x
  3. Step 3: Cross multiply
    1,599.66x = 2,206.87 × 970.02
  4. Step 4: Simplify right side
    1,599.66x = 2,140,708.04
  5. Step 5: Solve for x
    x = 2,140,708.04/1,599.66
  6. Step 6: Final answer
    x = 1,338.23

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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.