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Finding the Fourth Proportional to 432.14, 645.54 and 388.74

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Solution

The fourth proportional to 432.14, 645.54 and 388.74 is: 580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.14 : 645.54 = 388.74 : x
  2. Step 2: Convert to fraction form
    432.14/645.54 = 388.74/x
  3. Step 3: Cross multiply
    432.14x = 645.54 × 388.74
  4. Step 4: Simplify right side
    432.14x = 250,947.22
  5. Step 5: Solve for x
    x = 250,947.22/432.14
  6. Step 6: Final answer
    x = 580.70

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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.