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Finding the Fourth Proportional to 1,175.43, 1,622.17 and 678.16

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Solution

The fourth proportional to 1,175.43, 1,622.17 and 678.16 is: 935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.43 : 1,622.17 = 678.16 : x
  2. Step 2: Convert to fraction form
    1,175.43/1,622.17 = 678.16/x
  3. Step 3: Cross multiply
    1,175.43x = 1,622.17 × 678.16
  4. Step 4: Simplify right side
    1,175.43x = 1,100,090.81
  5. Step 5: Solve for x
    x = 1,100,090.81/1,175.43
  6. Step 6: Final answer
    x = 935.90

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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.