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Finding the Fourth Proportional to 432.76, 648.34 and 384.16

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Solution

The fourth proportional to 432.76, 648.34 and 384.16 is: 575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.76 : 648.34 = 384.16 : x
  2. Step 2: Convert to fraction form
    432.76/648.34 = 384.16/x
  3. Step 3: Cross multiply
    432.76x = 648.34 × 384.16
  4. Step 4: Simplify right side
    432.76x = 249,066.29
  5. Step 5: Solve for x
    x = 249,066.29/432.76
  6. Step 6: Final answer
    x = 575.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.