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Finding the Fourth Proportional to 1,429.32, 2,143.98 and 403.32

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Solution

The fourth proportional to 1,429.32, 2,143.98 and 403.32 is: 604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.32 : 2,143.98 = 403.32 : x
  2. Step 2: Convert to fraction form
    1,429.32/2,143.98 = 403.32/x
  3. Step 3: Cross multiply
    1,429.32x = 2,143.98 × 403.32
  4. Step 4: Simplify right side
    1,429.32x = 864,710.01
  5. Step 5: Solve for x
    x = 864,710.01/1,429.32
  6. Step 6: Final answer
    x = 604.98

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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.