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Finding the Fourth Proportional to 511.15, 709 and 492.70

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Solution

The fourth proportional to 511.15, 709 and 492.70 is: 683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.15 : 709 = 492.70 : x
  2. Step 2: Convert to fraction form
    511.15/709 = 492.70/x
  3. Step 3: Cross multiply
    511.15x = 709 × 492.70
  4. Step 4: Simplify right side
    511.15x = 349,324.30
  5. Step 5: Solve for x
    x = 349,324.30/511.15
  6. Step 6: Final answer
    x = 683.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.