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Finding the Fourth Proportional to 1,185.27, 1,636.01 and 688.13

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Solution

The fourth proportional to 1,185.27, 1,636.01 and 688.13 is: 949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.27 : 1,636.01 = 688.13 : x
  2. Step 2: Convert to fraction form
    1,185.27/1,636.01 = 688.13/x
  3. Step 3: Cross multiply
    1,185.27x = 1,636.01 × 688.13
  4. Step 4: Simplify right side
    1,185.27x = 1,125,788.53
  5. Step 5: Solve for x
    x = 1,125,788.53/1,185.27
  6. Step 6: Final answer
    x = 949.82

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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.