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Finding the Fourth Proportional to 652.58, 978.93 and 190.34

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Solution

The fourth proportional to 652.58, 978.93 and 190.34 is: 285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.58 : 978.93 = 190.34 : x
  2. Step 2: Convert to fraction form
    652.58/978.93 = 190.34/x
  3. Step 3: Cross multiply
    652.58x = 978.93 × 190.34
  4. Step 4: Simplify right side
    652.58x = 186,329.54
  5. Step 5: Solve for x
    x = 186,329.54/652.58
  6. Step 6: Final answer
    x = 285.53

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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.