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Finding the Fourth Proportional to 595.30, 820.28 and 506.47

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Solution

The fourth proportional to 595.30, 820.28 and 506.47 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.30 : 820.28 = 506.47 : x
  2. Step 2: Convert to fraction form
    595.30/820.28 = 506.47/x
  3. Step 3: Cross multiply
    595.30x = 820.28 × 506.47
  4. Step 4: Simplify right side
    595.30x = 415,447.21
  5. Step 5: Solve for x
    x = 415,447.21/595.30
  6. Step 6: Final answer
    x = 697.88

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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.