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Finding the Fourth Proportional to 657.77, 986.85 and 452.57

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Solution

The fourth proportional to 657.77, 986.85 and 452.57 is: 678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.77 : 986.85 = 452.57 : x
  2. Step 2: Convert to fraction form
    657.77/986.85 = 452.57/x
  3. Step 3: Cross multiply
    657.77x = 986.85 × 452.57
  4. Step 4: Simplify right side
    657.77x = 446,613.77
  5. Step 5: Solve for x
    x = 446,613.77/657.77
  6. Step 6: Final answer
    x = 678.99

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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.