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Finding the Fourth Proportional to 595.86, 821.24 and 511.21

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Solution

The fourth proportional to 595.86, 821.24 and 511.21 is: 704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.86 : 821.24 = 511.21 : x
  2. Step 2: Convert to fraction form
    595.86/821.24 = 511.21/x
  3. Step 3: Cross multiply
    595.86x = 821.24 × 511.21
  4. Step 4: Simplify right side
    595.86x = 419,826.49
  5. Step 5: Solve for x
    x = 419,826.49/595.86
  6. Step 6: Final answer
    x = 704.58

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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.