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Finding the Fourth Proportional to 1,095.58, 1,644.21 and 446.86

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Solution

The fourth proportional to 1,095.58, 1,644.21 and 446.86 is: 670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.58 : 1,644.21 = 446.86 : x
  2. Step 2: Convert to fraction form
    1,095.58/1,644.21 = 446.86/x
  3. Step 3: Cross multiply
    1,095.58x = 1,644.21 × 446.86
  4. Step 4: Simplify right side
    1,095.58x = 734,721.23
  5. Step 5: Solve for x
    x = 734,721.23/1,095.58
  6. Step 6: Final answer
    x = 670.63

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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.