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Finding the Fourth Proportional to 657.77, 985.50 and 451.89

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Solution

The fourth proportional to 657.77, 985.50 and 451.89 is: 677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.77 : 985.50 = 451.89 : x
  2. Step 2: Convert to fraction form
    657.77/985.50 = 451.89/x
  3. Step 3: Cross multiply
    657.77x = 985.50 × 451.89
  4. Step 4: Simplify right side
    657.77x = 445,337.60
  5. Step 5: Solve for x
    x = 445,337.60/657.77
  6. Step 6: Final answer
    x = 677.05

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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.