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Finding the Fourth Proportional to 435.54, 597.84 and 385.32

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Solution

The fourth proportional to 435.54, 597.84 and 385.32 is: 528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.54 : 597.84 = 385.32 : x
  2. Step 2: Convert to fraction form
    435.54/597.84 = 385.32/x
  3. Step 3: Cross multiply
    435.54x = 597.84 × 385.32
  4. Step 4: Simplify right side
    435.54x = 230,359.71
  5. Step 5: Solve for x
    x = 230,359.71/435.54
  6. Step 6: Final answer
    x = 528.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.