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Finding the Fourth Proportional to 1,589.25, 2,384.04 and 435

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Solution

The fourth proportional to 1,589.25, 2,384.04 and 435 is: 652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.25 : 2,384.04 = 435 : x
  2. Step 2: Convert to fraction form
    1,589.25/2,384.04 = 435/x
  3. Step 3: Cross multiply
    1,589.25x = 2,384.04 × 435
  4. Step 4: Simplify right side
    1,589.25x = 1,037,057.40
  5. Step 5: Solve for x
    x = 1,037,057.40/1,589.25
  6. Step 6: Final answer
    x = 652.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.