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Finding the Fourth Proportional to 498.94, 687.93 and 405.42

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Solution

The fourth proportional to 498.94, 687.93 and 405.42 is: 558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.94 : 687.93 = 405.42 : x
  2. Step 2: Convert to fraction form
    498.94/687.93 = 405.42/x
  3. Step 3: Cross multiply
    498.94x = 687.93 × 405.42
  4. Step 4: Simplify right side
    498.94x = 278,900.58
  5. Step 5: Solve for x
    x = 278,900.58/498.94
  6. Step 6: Final answer
    x = 558.99

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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.