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Finding the Fourth Proportional to 477.80, 712.79 and 464.57

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Solution

The fourth proportional to 477.80, 712.79 and 464.57 is: 693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.80 : 712.79 = 464.57 : x
  2. Step 2: Convert to fraction form
    477.80/712.79 = 464.57/x
  3. Step 3: Cross multiply
    477.80x = 712.79 × 464.57
  4. Step 4: Simplify right side
    477.80x = 331,138.45
  5. Step 5: Solve for x
    x = 331,138.45/477.80
  6. Step 6: Final answer
    x = 693.06

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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.