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Finding the Fourth Proportional to 499.50, 685.58 and 457.95

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Solution

The fourth proportional to 499.50, 685.58 and 457.95 is: 628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 685.58 = 457.95 : x
  2. Step 2: Convert to fraction form
    499.50/685.58 = 457.95/x
  3. Step 3: Cross multiply
    499.50x = 685.58 × 457.95
  4. Step 4: Simplify right side
    499.50x = 313,959.07
  5. Step 5: Solve for x
    x = 313,959.07/499.50
  6. Step 6: Final answer
    x = 628.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.