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Finding the Fourth Proportional to 1,059.62, 1,589.19 and 375.62

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Solution

The fourth proportional to 1,059.62, 1,589.19 and 375.62 is: 563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.62 : 1,589.19 = 375.62 : x
  2. Step 2: Convert to fraction form
    1,059.62/1,589.19 = 375.62/x
  3. Step 3: Cross multiply
    1,059.62x = 1,589.19 × 375.62
  4. Step 4: Simplify right side
    1,059.62x = 596,931.55
  5. Step 5: Solve for x
    x = 596,931.55/1,059.62
  6. Step 6: Final answer
    x = 563.34

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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.