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Finding the Fourth Proportional to 754.98, 1,125.64 and 735.74

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Solution

The fourth proportional to 754.98, 1,125.64 and 735.74 is: 1,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.98 : 1,125.64 = 735.74 : x
  2. Step 2: Convert to fraction form
    754.98/1,125.64 = 735.74/x
  3. Step 3: Cross multiply
    754.98x = 1,125.64 × 735.74
  4. Step 4: Simplify right side
    754.98x = 828,178.37
  5. Step 5: Solve for x
    x = 828,178.37/754.98
  6. Step 6: Final answer
    x = 1,096.95

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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.