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Finding the Fourth Proportional to 1,175.63, 1,621.94 and 703.54

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Solution

The fourth proportional to 1,175.63, 1,621.94 and 703.54 is: 970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.63 : 1,621.94 = 703.54 : x
  2. Step 2: Convert to fraction form
    1,175.63/1,621.94 = 703.54/x
  3. Step 3: Cross multiply
    1,175.63x = 1,621.94 × 703.54
  4. Step 4: Simplify right side
    1,175.63x = 1,141,088.04
  5. Step 5: Solve for x
    x = 1,141,088.04/1,175.63
  6. Step 6: Final answer
    x = 970.62

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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.