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Finding the Fourth Proportional to 1,175.27, 1,621.85 and 678.06

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Solution

The fourth proportional to 1,175.27, 1,621.85 and 678.06 is: 935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.27 : 1,621.85 = 678.06 : x
  2. Step 2: Convert to fraction form
    1,175.27/1,621.85 = 678.06/x
  3. Step 3: Cross multiply
    1,175.27x = 1,621.85 × 678.06
  4. Step 4: Simplify right side
    1,175.27x = 1,099,708.22
  5. Step 5: Solve for x
    x = 1,099,708.22/1,175.27
  6. Step 6: Final answer
    x = 935.71

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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.