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Finding the Fourth Proportional to 1,185.51, 1,635.87 and 688.31

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Solution

The fourth proportional to 1,185.51, 1,635.87 and 688.31 is: 949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.51 : 1,635.87 = 688.31 : x
  2. Step 2: Convert to fraction form
    1,185.51/1,635.87 = 688.31/x
  3. Step 3: Cross multiply
    1,185.51x = 1,635.87 × 688.31
  4. Step 4: Simplify right side
    1,185.51x = 1,125,977.50
  5. Step 5: Solve for x
    x = 1,125,977.50/1,185.51
  6. Step 6: Final answer
    x = 949.78

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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.