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Finding the Fourth Proportional to 435.90, 601.36 and 380.64

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Solution

The fourth proportional to 435.90, 601.36 and 380.64 is: 525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.90 : 601.36 = 380.64 : x
  2. Step 2: Convert to fraction form
    435.90/601.36 = 380.64/x
  3. Step 3: Cross multiply
    435.90x = 601.36 × 380.64
  4. Step 4: Simplify right side
    435.90x = 228,901.67
  5. Step 5: Solve for x
    x = 228,901.67/435.90
  6. Step 6: Final answer
    x = 525.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.