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Finding the Fourth Proportional to 1,688.37, 2,530.81 and 648.09

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Solution

The fourth proportional to 1,688.37, 2,530.81 and 648.09 is: 971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.37 : 2,530.81 = 648.09 : x
  2. Step 2: Convert to fraction form
    1,688.37/2,530.81 = 648.09/x
  3. Step 3: Cross multiply
    1,688.37x = 2,530.81 × 648.09
  4. Step 4: Simplify right side
    1,688.37x = 1,640,192.65
  5. Step 5: Solve for x
    x = 1,640,192.65/1,688.37
  6. Step 6: Final answer
    x = 971.47

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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.