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Finding the Fourth Proportional to 595.26, 820.59 and 417.66

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Solution

The fourth proportional to 595.26, 820.59 and 417.66 is: 575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 820.59 = 417.66 : x
  2. Step 2: Convert to fraction form
    595.26/820.59 = 417.66/x
  3. Step 3: Cross multiply
    595.26x = 820.59 × 417.66
  4. Step 4: Simplify right side
    595.26x = 342,727.62
  5. Step 5: Solve for x
    x = 342,727.62/595.26
  6. Step 6: Final answer
    x = 575.76

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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.