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Finding the Fourth Proportional to 520.77, 777.34 and 459.26

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Solution

The fourth proportional to 520.77, 777.34 and 459.26 is: 685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.77 : 777.34 = 459.26 : x
  2. Step 2: Convert to fraction form
    520.77/777.34 = 459.26/x
  3. Step 3: Cross multiply
    520.77x = 777.34 × 459.26
  4. Step 4: Simplify right side
    520.77x = 356,996.13
  5. Step 5: Solve for x
    x = 356,996.13/520.77
  6. Step 6: Final answer
    x = 685.52

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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.