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Finding the Fourth Proportional to 1,450.40, 2,174.77 and 463.02

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Solution

The fourth proportional to 1,450.40, 2,174.77 and 463.02 is: 694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.40 : 2,174.77 = 463.02 : x
  2. Step 2: Convert to fraction form
    1,450.40/2,174.77 = 463.02/x
  3. Step 3: Cross multiply
    1,450.40x = 2,174.77 × 463.02
  4. Step 4: Simplify right side
    1,450.40x = 1,006,951.82
  5. Step 5: Solve for x
    x = 1,006,951.82/1,450.40
  6. Step 6: Final answer
    x = 694.26

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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.