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Finding the Fourth Proportional to 432.92, 645.58 and 384.32

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Solution

The fourth proportional to 432.92, 645.58 and 384.32 is: 573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.92 : 645.58 = 384.32 : x
  2. Step 2: Convert to fraction form
    432.92/645.58 = 384.32/x
  3. Step 3: Cross multiply
    432.92x = 645.58 × 384.32
  4. Step 4: Simplify right side
    432.92x = 248,109.31
  5. Step 5: Solve for x
    x = 248,109.31/432.92
  6. Step 6: Final answer
    x = 573.11

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