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Finding the Fourth Proportional to 1,589.82, 2,384.89 and 435.57

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Solution

The fourth proportional to 1,589.82, 2,384.89 and 435.57 is: 653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.82 : 2,384.89 = 435.57 : x
  2. Step 2: Convert to fraction form
    1,589.82/2,384.89 = 435.57/x
  3. Step 3: Cross multiply
    1,589.82x = 2,384.89 × 435.57
  4. Step 4: Simplify right side
    1,589.82x = 1,038,772.44
  5. Step 5: Solve for x
    x = 1,038,772.44/1,589.82
  6. Step 6: Final answer
    x = 653.39

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1.5x scale

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.