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Finding the Fourth Proportional to 648.06, 973.97 and 539.05

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Solution

The fourth proportional to 648.06, 973.97 and 539.05 is: 810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 973.97 = 539.05 : x
  2. Step 2: Convert to fraction form
    648.06/973.97 = 539.05/x
  3. Step 3: Cross multiply
    648.06x = 973.97 × 539.05
  4. Step 4: Simplify right side
    648.06x = 525,015.83
  5. Step 5: Solve for x
    x = 525,015.83/648.06
  6. Step 6: Final answer
    x = 810.13

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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.