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Finding the Fourth Proportional to 469.82, 707.38 and 348.96

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Solution

The fourth proportional to 469.82, 707.38 and 348.96 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.82 : 707.38 = 348.96 : x
  2. Step 2: Convert to fraction form
    469.82/707.38 = 348.96/x
  3. Step 3: Cross multiply
    469.82x = 707.38 × 348.96
  4. Step 4: Simplify right side
    469.82x = 246,847.32
  5. Step 5: Solve for x
    x = 246,847.32/469.82
  6. Step 6: Final answer
    x = 525.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.