Home / 1,688.27-2,531.79-648.59

Finding the Fourth Proportional to 1,688.27, 2,531.79 and 648.59

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Solution

The fourth proportional to 1,688.27, 2,531.79 and 648.59 is: 972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.27 : 2,531.79 = 648.59 : x
  2. Step 2: Convert to fraction form
    1,688.27/2,531.79 = 648.59/x
  3. Step 3: Cross multiply
    1,688.27x = 2,531.79 × 648.59
  4. Step 4: Simplify right side
    1,688.27x = 1,642,081.02
  5. Step 5: Solve for x
    x = 1,642,081.02/1,688.27
  6. Step 6: Final answer
    x = 972.64

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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.