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Finding the Fourth Proportional to 1,299.48, 1,948.58 and 433.50

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Solution

The fourth proportional to 1,299.48, 1,948.58 and 433.50 is: 650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.48 : 1,948.58 = 433.50 : x
  2. Step 2: Convert to fraction form
    1,299.48/1,948.58 = 433.50/x
  3. Step 3: Cross multiply
    1,299.48x = 1,948.58 × 433.50
  4. Step 4: Simplify right side
    1,299.48x = 844,709.43
  5. Step 5: Solve for x
    x = 844,709.43/1,299.48
  6. Step 6: Final answer
    x = 650.04

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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.