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Finding the Fourth Proportional to 595.14, 820.24 and 511.90

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Solution

The fourth proportional to 595.14, 820.24 and 511.90 is: 705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.14 : 820.24 = 511.90 : x
  2. Step 2: Convert to fraction form
    595.14/820.24 = 511.90/x
  3. Step 3: Cross multiply
    595.14x = 820.24 × 511.90
  4. Step 4: Simplify right side
    595.14x = 419,880.86
  5. Step 5: Solve for x
    x = 419,880.86/595.14
  6. Step 6: Final answer
    x = 705.52

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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.