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Finding the Fourth Proportional to 1,175.21, 1,621.77 and 651.23

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Solution

The fourth proportional to 1,175.21, 1,621.77 and 651.23 is: 898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.21 : 1,621.77 = 651.23 : x
  2. Step 2: Convert to fraction form
    1,175.21/1,621.77 = 651.23/x
  3. Step 3: Cross multiply
    1,175.21x = 1,621.77 × 651.23
  4. Step 4: Simplify right side
    1,175.21x = 1,056,142.02
  5. Step 5: Solve for x
    x = 1,056,142.02/1,175.21
  6. Step 6: Final answer
    x = 898.68

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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.