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Finding the Fourth Proportional to 697.26, 1,045.28 and 264.72

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Solution

The fourth proportional to 697.26, 1,045.28 and 264.72 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.26 : 1,045.28 = 264.72 : x
  2. Step 2: Convert to fraction form
    697.26/1,045.28 = 264.72/x
  3. Step 3: Cross multiply
    697.26x = 1,045.28 × 264.72
  4. Step 4: Simplify right side
    697.26x = 276,705.20
  5. Step 5: Solve for x
    x = 276,705.20/697.26
  6. Step 6: Final answer
    x = 396.85

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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.