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Finding the Fourth Proportional to 1,059.81, 1,589.93 and 410.55

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Solution

The fourth proportional to 1,059.81, 1,589.93 and 410.55 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.81 : 1,589.93 = 410.55 : x
  2. Step 2: Convert to fraction form
    1,059.81/1,589.93 = 410.55/x
  3. Step 3: Cross multiply
    1,059.81x = 1,589.93 × 410.55
  4. Step 4: Simplify right side
    1,059.81x = 652,743.71
  5. Step 5: Solve for x
    x = 652,743.71/1,059.81
  6. Step 6: Final answer
    x = 615.91

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Double scale
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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.