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Finding the Fourth Proportional to 419.31, 632.07 and 347.63

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Solution

The fourth proportional to 419.31, 632.07 and 347.63 is: 524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 632.07 = 347.63 : x
  2. Step 2: Convert to fraction form
    419.31/632.07 = 347.63/x
  3. Step 3: Cross multiply
    419.31x = 632.07 × 347.63
  4. Step 4: Simplify right side
    419.31x = 219,723.33
  5. Step 5: Solve for x
    x = 219,723.33/419.31
  6. Step 6: Final answer
    x = 524.01

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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.