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Finding the Fourth Proportional to 1,688.36, 2,530.82 and 648.08

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Solution

The fourth proportional to 1,688.36, 2,530.82 and 648.08 is: 971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.36 : 2,530.82 = 648.08 : x
  2. Step 2: Convert to fraction form
    1,688.36/2,530.82 = 648.08/x
  3. Step 3: Cross multiply
    1,688.36x = 2,530.82 × 648.08
  4. Step 4: Simplify right side
    1,688.36x = 1,640,173.83
  5. Step 5: Solve for x
    x = 1,640,173.83/1,688.36
  6. Step 6: Final answer
    x = 971.46

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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.