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Finding the Fourth Proportional to 511.12, 709.02 and 498.32

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Solution

The fourth proportional to 511.12, 709.02 and 498.32 is: 691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.12 : 709.02 = 498.32 : x
  2. Step 2: Convert to fraction form
    511.12/709.02 = 498.32/x
  3. Step 3: Cross multiply
    511.12x = 709.02 × 498.32
  4. Step 4: Simplify right side
    511.12x = 353,318.85
  5. Step 5: Solve for x
    x = 353,318.85/511.12
  6. Step 6: Final answer
    x = 691.26

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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.