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Finding the Fourth Proportional to 1,168.64, 1,751.88 and 613.24

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Solution

The fourth proportional to 1,168.64, 1,751.88 and 613.24 is: 919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.64 : 1,751.88 = 613.24 : x
  2. Step 2: Convert to fraction form
    1,168.64/1,751.88 = 613.24/x
  3. Step 3: Cross multiply
    1,168.64x = 1,751.88 × 613.24
  4. Step 4: Simplify right side
    1,168.64x = 1,074,315.23
  5. Step 5: Solve for x
    x = 1,074,315.23/1,168.64
  6. Step 6: Final answer
    x = 919.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.