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Finding the Fourth Proportional to 652.10, 982.55 and 539.07

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Solution

The fourth proportional to 652.10, 982.55 and 539.07 is: 812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.10 : 982.55 = 539.07 : x
  2. Step 2: Convert to fraction form
    652.10/982.55 = 539.07/x
  3. Step 3: Cross multiply
    652.10x = 982.55 × 539.07
  4. Step 4: Simplify right side
    652.10x = 529,660.53
  5. Step 5: Solve for x
    x = 529,660.53/652.10
  6. Step 6: Final answer
    x = 812.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.