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Finding the Fourth Proportional to 498.94, 689.24 and 425.22

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Solution

The fourth proportional to 498.94, 689.24 and 425.22 is: 587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.94 : 689.24 = 425.22 : x
  2. Step 2: Convert to fraction form
    498.94/689.24 = 425.22/x
  3. Step 3: Cross multiply
    498.94x = 689.24 × 425.22
  4. Step 4: Simplify right side
    498.94x = 293,078.63
  5. Step 5: Solve for x
    x = 293,078.63/498.94
  6. Step 6: Final answer
    x = 587.40

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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.