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Finding the Fourth Proportional to 1,086.70, 1,630.06 and 264.99

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Solution

The fourth proportional to 1,086.70, 1,630.06 and 264.99 is: 397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.70 : 1,630.06 = 264.99 : x
  2. Step 2: Convert to fraction form
    1,086.70/1,630.06 = 264.99/x
  3. Step 3: Cross multiply
    1,086.70x = 1,630.06 × 264.99
  4. Step 4: Simplify right side
    1,086.70x = 431,945.88
  5. Step 5: Solve for x
    x = 431,945.88/1,086.70
  6. Step 6: Final answer
    x = 397.48

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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.