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Finding the Fourth Proportional to 652.25, 978.08 and 305.47

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Solution

The fourth proportional to 652.25, 978.08 and 305.47 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.25 : 978.08 = 305.47 : x
  2. Step 2: Convert to fraction form
    652.25/978.08 = 305.47/x
  3. Step 3: Cross multiply
    652.25x = 978.08 × 305.47
  4. Step 4: Simplify right side
    652.25x = 298,773.79
  5. Step 5: Solve for x
    x = 298,773.79/652.25
  6. Step 6: Final answer
    x = 458.06

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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.