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Finding the Fourth Proportional to 651.57, 977.28 and 408.57

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Solution

The fourth proportional to 651.57, 977.28 and 408.57 is: 612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.57 : 977.28 = 408.57 : x
  2. Step 2: Convert to fraction form
    651.57/977.28 = 408.57/x
  3. Step 3: Cross multiply
    651.57x = 977.28 × 408.57
  4. Step 4: Simplify right side
    651.57x = 399,287.29
  5. Step 5: Solve for x
    x = 399,287.29/651.57
  6. Step 6: Final answer
    x = 612.81

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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.