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Finding the Fourth Proportional to 520.42, 777.26 and 471.57

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Solution

The fourth proportional to 520.42, 777.26 and 471.57 is: 704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.42 : 777.26 = 471.57 : x
  2. Step 2: Convert to fraction form
    520.42/777.26 = 471.57/x
  3. Step 3: Cross multiply
    520.42x = 777.26 × 471.57
  4. Step 4: Simplify right side
    520.42x = 366,532.50
  5. Step 5: Solve for x
    x = 366,532.50/520.42
  6. Step 6: Final answer
    x = 704.30

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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.