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Finding the Fourth Proportional to 453.80, 677.77 and 392.24

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Solution

The fourth proportional to 453.80, 677.77 and 392.24 is: 585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.80 : 677.77 = 392.24 : x
  2. Step 2: Convert to fraction form
    453.80/677.77 = 392.24/x
  3. Step 3: Cross multiply
    453.80x = 677.77 × 392.24
  4. Step 4: Simplify right side
    453.80x = 265,849.22
  5. Step 5: Solve for x
    x = 265,849.22/453.80
  6. Step 6: Final answer
    x = 585.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.