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Finding the Fourth Proportional to 652.14, 976.84 and 305.75

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Solution

The fourth proportional to 652.14, 976.84 and 305.75 is: 457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 976.84 = 305.75 : x
  2. Step 2: Convert to fraction form
    652.14/976.84 = 305.75/x
  3. Step 3: Cross multiply
    652.14x = 976.84 × 305.75
  4. Step 4: Simplify right side
    652.14x = 298,670.51
  5. Step 5: Solve for x
    x = 298,670.51/652.14
  6. Step 6: Final answer
    x = 457.99

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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.