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Finding the Fourth Proportional to 652.02, 976.90 and 408

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Solution

The fourth proportional to 652.02, 976.90 and 408 is: 611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.02 : 976.90 = 408 : x
  2. Step 2: Convert to fraction form
    652.02/976.90 = 408/x
  3. Step 3: Cross multiply
    652.02x = 976.90 × 408
  4. Step 4: Simplify right side
    652.02x = 398,575.20
  5. Step 5: Solve for x
    x = 398,575.20/652.02
  6. Step 6: Final answer
    x = 611.29

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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.