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Finding the Fourth Proportional to 577.02, 861.62 and 453.90

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Solution

The fourth proportional to 577.02, 861.62 and 453.90 is: 677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 861.62 = 453.90 : x
  2. Step 2: Convert to fraction form
    577.02/861.62 = 453.90/x
  3. Step 3: Cross multiply
    577.02x = 861.62 × 453.90
  4. Step 4: Simplify right side
    577.02x = 391,089.32
  5. Step 5: Solve for x
    x = 391,089.32/577.02
  6. Step 6: Final answer
    x = 677.77

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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.