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Finding the Fourth Proportional to 432.81, 643.65 and 419.14

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Solution

The fourth proportional to 432.81, 643.65 and 419.14 is: 623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.81 : 643.65 = 419.14 : x
  2. Step 2: Convert to fraction form
    432.81/643.65 = 419.14/x
  3. Step 3: Cross multiply
    432.81x = 643.65 × 419.14
  4. Step 4: Simplify right side
    432.81x = 269,774.15
  5. Step 5: Solve for x
    x = 269,774.15/432.81
  6. Step 6: Final answer
    x = 623.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.