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Finding the Fourth Proportional to 595.43, 820.91 and 488.69

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Solution

The fourth proportional to 595.43, 820.91 and 488.69 is: 673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.43 : 820.91 = 488.69 : x
  2. Step 2: Convert to fraction form
    595.43/820.91 = 488.69/x
  3. Step 3: Cross multiply
    595.43x = 820.91 × 488.69
  4. Step 4: Simplify right side
    595.43x = 401,170.12
  5. Step 5: Solve for x
    x = 401,170.12/595.43
  6. Step 6: Final answer
    x = 673.75

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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.