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Finding the Fourth Proportional to 1,175.61, 1,621.97 and 678.18

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Solution

The fourth proportional to 1,175.61, 1,621.97 and 678.18 is: 935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.61 : 1,621.97 = 678.18 : x
  2. Step 2: Convert to fraction form
    1,175.61/1,621.97 = 678.18/x
  3. Step 3: Cross multiply
    1,175.61x = 1,621.97 × 678.18
  4. Step 4: Simplify right side
    1,175.61x = 1,099,992.85
  5. Step 5: Solve for x
    x = 1,099,992.85/1,175.61
  6. Step 6: Final answer
    x = 935.68

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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.