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Finding the Fourth Proportional to 676.44, 933.75 and 499.10

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Solution

The fourth proportional to 676.44, 933.75 and 499.10 is: 688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.44 : 933.75 = 499.10 : x
  2. Step 2: Convert to fraction form
    676.44/933.75 = 499.10/x
  3. Step 3: Cross multiply
    676.44x = 933.75 × 499.10
  4. Step 4: Simplify right side
    676.44x = 466,029.96
  5. Step 5: Solve for x
    x = 466,029.96/676.44
  6. Step 6: Final answer
    x = 688.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.