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Finding the Fourth Proportional to 520.64, 776.89 and 517.60

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Solution

The fourth proportional to 520.64, 776.89 and 517.60 is: 772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.64 : 776.89 = 517.60 : x
  2. Step 2: Convert to fraction form
    520.64/776.89 = 517.60/x
  3. Step 3: Cross multiply
    520.64x = 776.89 × 517.60
  4. Step 4: Simplify right side
    520.64x = 402,118.26
  5. Step 5: Solve for x
    x = 402,118.26/520.64
  6. Step 6: Final answer
    x = 772.35

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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.