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Finding the Fourth Proportional to 499.15, 688.87 and 459.93

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Solution

The fourth proportional to 499.15, 688.87 and 459.93 is: 634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.15 : 688.87 = 459.93 : x
  2. Step 2: Convert to fraction form
    499.15/688.87 = 459.93/x
  3. Step 3: Cross multiply
    499.15x = 688.87 × 459.93
  4. Step 4: Simplify right side
    499.15x = 316,831.98
  5. Step 5: Solve for x
    x = 316,831.98/499.15
  6. Step 6: Final answer
    x = 634.74

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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.