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Finding the Fourth Proportional to 754.41, 1,124.21 and 729.64

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Solution

The fourth proportional to 754.41, 1,124.21 and 729.64 is: 1,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.41 : 1,124.21 = 729.64 : x
  2. Step 2: Convert to fraction form
    754.41/1,124.21 = 729.64/x
  3. Step 3: Cross multiply
    754.41x = 1,124.21 × 729.64
  4. Step 4: Simplify right side
    754.41x = 820,271.81
  5. Step 5: Solve for x
    x = 820,271.81/754.41
  6. Step 6: Final answer
    x = 1,087.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.