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Finding the Fourth Proportional to 499.37, 690.33 and 457.86

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Solution

The fourth proportional to 499.37, 690.33 and 457.86 is: 632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.37 : 690.33 = 457.86 : x
  2. Step 2: Convert to fraction form
    499.37/690.33 = 457.86/x
  3. Step 3: Cross multiply
    499.37x = 690.33 × 457.86
  4. Step 4: Simplify right side
    499.37x = 316,074.49
  5. Step 5: Solve for x
    x = 316,074.49/499.37
  6. Step 6: Final answer
    x = 632.95

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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.