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Finding the Fourth Proportional to 595.90, 820.29 and 512.83

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Solution

The fourth proportional to 595.90, 820.29 and 512.83 is: 705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.90 : 820.29 = 512.83 : x
  2. Step 2: Convert to fraction form
    595.90/820.29 = 512.83/x
  3. Step 3: Cross multiply
    595.90x = 820.29 × 512.83
  4. Step 4: Simplify right side
    595.90x = 420,669.32
  5. Step 5: Solve for x
    x = 420,669.32/595.90
  6. Step 6: Final answer
    x = 705.94

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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.