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Finding the Fourth Proportional to 1,089.70, 1,634.78 and 512.26

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Solution

The fourth proportional to 1,089.70, 1,634.78 and 512.26 is: 768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.70 : 1,634.78 = 512.26 : x
  2. Step 2: Convert to fraction form
    1,089.70/1,634.78 = 512.26/x
  3. Step 3: Cross multiply
    1,089.70x = 1,634.78 × 512.26
  4. Step 4: Simplify right side
    1,089.70x = 837,432.40
  5. Step 5: Solve for x
    x = 837,432.40/1,089.70
  6. Step 6: Final answer
    x = 768.50

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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.