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Finding the Fourth Proportional to 652.77, 977.31 and 408.56

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Solution

The fourth proportional to 652.77, 977.31 and 408.56 is: 611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.77 : 977.31 = 408.56 : x
  2. Step 2: Convert to fraction form
    652.77/977.31 = 408.56/x
  3. Step 3: Cross multiply
    652.77x = 977.31 × 408.56
  4. Step 4: Simplify right side
    652.77x = 399,284.89
  5. Step 5: Solve for x
    x = 399,284.89/652.77
  6. Step 6: Final answer
    x = 611.68

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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.