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Finding the Fourth Proportional to 432.64, 645.80 and 375.27

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Solution

The fourth proportional to 432.64, 645.80 and 375.27 is: 560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 645.80 = 375.27 : x
  2. Step 2: Convert to fraction form
    432.64/645.80 = 375.27/x
  3. Step 3: Cross multiply
    432.64x = 645.80 × 375.27
  4. Step 4: Simplify right side
    432.64x = 242,349.37
  5. Step 5: Solve for x
    x = 242,349.37/432.64
  6. Step 6: Final answer
    x = 560.16

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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.