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Finding the Fourth Proportional to 498.74, 687.74 and 429.02

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Solution

The fourth proportional to 498.74, 687.74 and 429.02 is: 591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.74 : 687.74 = 429.02 : x
  2. Step 2: Convert to fraction form
    498.74/687.74 = 429.02/x
  3. Step 3: Cross multiply
    498.74x = 687.74 × 429.02
  4. Step 4: Simplify right side
    498.74x = 295,054.21
  5. Step 5: Solve for x
    x = 295,054.21/498.74
  6. Step 6: Final answer
    x = 591.60

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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.