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Finding the Fourth Proportional to 518.88, 774.64 and 480

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Solution

The fourth proportional to 518.88, 774.64 and 480 is: 716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.88 : 774.64 = 480 : x
  2. Step 2: Convert to fraction form
    518.88/774.64 = 480/x
  3. Step 3: Cross multiply
    518.88x = 774.64 × 480
  4. Step 4: Simplify right side
    518.88x = 371,827.20
  5. Step 5: Solve for x
    x = 371,827.20/518.88
  6. Step 6: Final answer
    x = 716.60

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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.