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Finding the Fourth Proportional to 2,697.30, 4,045.41 and 748.98

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Solution

The fourth proportional to 2,697.30, 4,045.41 and 748.98 is: 1,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.30 : 4,045.41 = 748.98 : x
  2. Step 2: Convert to fraction form
    2,697.30/4,045.41 = 748.98/x
  3. Step 3: Cross multiply
    2,697.30x = 4,045.41 × 748.98
  4. Step 4: Simplify right side
    2,697.30x = 3,029,931.18
  5. Step 5: Solve for x
    x = 3,029,931.18/2,697.30
  6. Step 6: Final answer
    x = 1,123.32

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1.5x scale

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.