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Finding the Fourth Proportional to 517.95, 774.63 and 460.58

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Solution

The fourth proportional to 517.95, 774.63 and 460.58 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 774.63 = 460.58 : x
  2. Step 2: Convert to fraction form
    517.95/774.63 = 460.58/x
  3. Step 3: Cross multiply
    517.95x = 774.63 × 460.58
  4. Step 4: Simplify right side
    517.95x = 356,775.21
  5. Step 5: Solve for x
    x = 356,775.21/517.95
  6. Step 6: Final answer
    x = 688.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.