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Finding the Fourth Proportional to 435.64, 601.68 and 400.54

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Solution

The fourth proportional to 435.64, 601.68 and 400.54 is: 553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.64 : 601.68 = 400.54 : x
  2. Step 2: Convert to fraction form
    435.64/601.68 = 400.54/x
  3. Step 3: Cross multiply
    435.64x = 601.68 × 400.54
  4. Step 4: Simplify right side
    435.64x = 240,996.91
  5. Step 5: Solve for x
    x = 240,996.91/435.64
  6. Step 6: Final answer
    x = 553.20

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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.