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Finding the Fourth Proportional to 476.59, 657.46 and 299.77

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Solution

The fourth proportional to 476.59, 657.46 and 299.77 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.59 : 657.46 = 299.77 : x
  2. Step 2: Convert to fraction form
    476.59/657.46 = 299.77/x
  3. Step 3: Cross multiply
    476.59x = 657.46 × 299.77
  4. Step 4: Simplify right side
    476.59x = 197,082.00
  5. Step 5: Solve for x
    x = 197,082.00/476.59
  6. Step 6: Final answer
    x = 413.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.