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Finding the Fourth Proportional to 498.94, 688.16 and 420.68

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Solution

The fourth proportional to 498.94, 688.16 and 420.68 is: 580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.94 : 688.16 = 420.68 : x
  2. Step 2: Convert to fraction form
    498.94/688.16 = 420.68/x
  3. Step 3: Cross multiply
    498.94x = 688.16 × 420.68
  4. Step 4: Simplify right side
    498.94x = 289,497.92
  5. Step 5: Solve for x
    x = 289,497.92/498.94
  6. Step 6: Final answer
    x = 580.23

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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.