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Finding the Fourth Proportional to 1,019.61, 1,529.41 and 289.18

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Solution

The fourth proportional to 1,019.61, 1,529.41 and 289.18 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.61 : 1,529.41 = 289.18 : x
  2. Step 2: Convert to fraction form
    1,019.61/1,529.41 = 289.18/x
  3. Step 3: Cross multiply
    1,019.61x = 1,529.41 × 289.18
  4. Step 4: Simplify right side
    1,019.61x = 442,274.78
  5. Step 5: Solve for x
    x = 442,274.78/1,019.61
  6. Step 6: Final answer
    x = 433.77

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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.