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Finding the Fourth Proportional to 517.14, 774.84 and 498

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Solution

The fourth proportional to 517.14, 774.84 and 498 is: 746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.14 : 774.84 = 498 : x
  2. Step 2: Convert to fraction form
    517.14/774.84 = 498/x
  3. Step 3: Cross multiply
    517.14x = 774.84 × 498
  4. Step 4: Simplify right side
    517.14x = 385,870.32
  5. Step 5: Solve for x
    x = 385,870.32/517.14
  6. Step 6: Final answer
    x = 746.16

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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.