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Finding the Fourth Proportional to 652.29, 978.56 and 408.53

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Solution

The fourth proportional to 652.29, 978.56 and 408.53 is: 612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.29 : 978.56 = 408.53 : x
  2. Step 2: Convert to fraction form
    652.29/978.56 = 408.53/x
  3. Step 3: Cross multiply
    652.29x = 978.56 × 408.53
  4. Step 4: Simplify right side
    652.29x = 399,771.12
  5. Step 5: Solve for x
    x = 399,771.12/652.29
  6. Step 6: Final answer
    x = 612.87

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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.