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Finding the Fourth Proportional to 581.38, 798.26 and 498.45

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Solution

The fourth proportional to 581.38, 798.26 and 498.45 is: 684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.38 : 798.26 = 498.45 : x
  2. Step 2: Convert to fraction form
    581.38/798.26 = 498.45/x
  3. Step 3: Cross multiply
    581.38x = 798.26 × 498.45
  4. Step 4: Simplify right side
    581.38x = 397,893.20
  5. Step 5: Solve for x
    x = 397,893.20/581.38
  6. Step 6: Final answer
    x = 684.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.