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Finding the Fourth Proportional to 1,019.45, 1,529.18 and 289.03

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Solution

The fourth proportional to 1,019.45, 1,529.18 and 289.03 is: 433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.45 : 1,529.18 = 289.03 : x
  2. Step 2: Convert to fraction form
    1,019.45/1,529.18 = 289.03/x
  3. Step 3: Cross multiply
    1,019.45x = 1,529.18 × 289.03
  4. Step 4: Simplify right side
    1,019.45x = 441,978.90
  5. Step 5: Solve for x
    x = 441,978.90/1,019.45
  6. Step 6: Final answer
    x = 433.55

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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.