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Finding the Fourth Proportional to 1,695.64, 2,543.26 and 446.36

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Solution

The fourth proportional to 1,695.64, 2,543.26 and 446.36 is: 669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.64 : 2,543.26 = 446.36 : x
  2. Step 2: Convert to fraction form
    1,695.64/2,543.26 = 446.36/x
  3. Step 3: Cross multiply
    1,695.64x = 2,543.26 × 446.36
  4. Step 4: Simplify right side
    1,695.64x = 1,135,209.53
  5. Step 5: Solve for x
    x = 1,135,209.53/1,695.64
  6. Step 6: Final answer
    x = 669.49

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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.