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Finding the Fourth Proportional to 520.85, 777.27 and 476.70

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Solution

The fourth proportional to 520.85, 777.27 and 476.70 is: 711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.85 : 777.27 = 476.70 : x
  2. Step 2: Convert to fraction form
    520.85/777.27 = 476.70/x
  3. Step 3: Cross multiply
    520.85x = 777.27 × 476.70
  4. Step 4: Simplify right side
    520.85x = 370,524.61
  5. Step 5: Solve for x
    x = 370,524.61/520.85
  6. Step 6: Final answer
    x = 711.39

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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.