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Finding the Fourth Proportional to 652.59, 978.71 and 190.40

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Solution

The fourth proportional to 652.59, 978.71 and 190.40 is: 285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.59 : 978.71 = 190.40 : x
  2. Step 2: Convert to fraction form
    652.59/978.71 = 190.40/x
  3. Step 3: Cross multiply
    652.59x = 978.71 × 190.40
  4. Step 4: Simplify right side
    652.59x = 186,340.54
  5. Step 5: Solve for x
    x = 186,340.54/652.59
  6. Step 6: Final answer
    x = 285.54

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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.