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Finding the Fourth Proportional to 1,689.86, 2,534.80 and 716.64

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Solution

The fourth proportional to 1,689.86, 2,534.80 and 716.64 is: 1,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.86 : 2,534.80 = 716.64 : x
  2. Step 2: Convert to fraction form
    1,689.86/2,534.80 = 716.64/x
  3. Step 3: Cross multiply
    1,689.86x = 2,534.80 × 716.64
  4. Step 4: Simplify right side
    1,689.86x = 1,816,539.07
  5. Step 5: Solve for x
    x = 1,816,539.07/1,689.86
  6. Step 6: Final answer
    x = 1,074.96

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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.