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Finding the Fourth Proportional to 578.64, 795.44 and 498.59

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Solution

The fourth proportional to 578.64, 795.44 and 498.59 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 795.44 = 498.59 : x
  2. Step 2: Convert to fraction form
    578.64/795.44 = 498.59/x
  3. Step 3: Cross multiply
    578.64x = 795.44 × 498.59
  4. Step 4: Simplify right side
    578.64x = 396,598.43
  5. Step 5: Solve for x
    x = 396,598.43/578.64
  6. Step 6: Final answer
    x = 685.40

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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.