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Finding the Fourth Proportional to 652.62, 978.46 and 305.76

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Solution

The fourth proportional to 652.62, 978.46 and 305.76 is: 458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.62 : 978.46 = 305.76 : x
  2. Step 2: Convert to fraction form
    652.62/978.46 = 305.76/x
  3. Step 3: Cross multiply
    652.62x = 978.46 × 305.76
  4. Step 4: Simplify right side
    652.62x = 299,175.15
  5. Step 5: Solve for x
    x = 299,175.15/652.62
  6. Step 6: Final answer
    x = 458.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.