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Finding the Fourth Proportional to 520.49, 777.35 and 471.64

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Solution

The fourth proportional to 520.49, 777.35 and 471.64 is: 704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.49 : 777.35 = 471.64 : x
  2. Step 2: Convert to fraction form
    520.49/777.35 = 471.64/x
  3. Step 3: Cross multiply
    520.49x = 777.35 × 471.64
  4. Step 4: Simplify right side
    520.49x = 366,625.47
  5. Step 5: Solve for x
    x = 366,625.47/520.49
  6. Step 6: Final answer
    x = 704.39

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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.