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Finding the Fourth Proportional to 1,686.94, 2,531.57 and 591.31

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Solution

The fourth proportional to 1,686.94, 2,531.57 and 591.31 is: 887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.94 : 2,531.57 = 591.31 : x
  2. Step 2: Convert to fraction form
    1,686.94/2,531.57 = 591.31/x
  3. Step 3: Cross multiply
    1,686.94x = 2,531.57 × 591.31
  4. Step 4: Simplify right side
    1,686.94x = 1,496,942.66
  5. Step 5: Solve for x
    x = 1,496,942.66/1,686.94
  6. Step 6: Final answer
    x = 887.37

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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.