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Finding the Fourth Proportional to 652.12, 973.97 and 515.32

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Solution

The fourth proportional to 652.12, 973.97 and 515.32 is: 769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 973.97 = 515.32 : x
  2. Step 2: Convert to fraction form
    652.12/973.97 = 515.32/x
  3. Step 3: Cross multiply
    652.12x = 973.97 × 515.32
  4. Step 4: Simplify right side
    652.12x = 501,906.22
  5. Step 5: Solve for x
    x = 501,906.22/652.12
  6. Step 6: Final answer
    x = 769.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.