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Finding the Fourth Proportional to 424.64, 633.54 and 380.59

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Solution

The fourth proportional to 424.64, 633.54 and 380.59 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.64 : 633.54 = 380.59 : x
  2. Step 2: Convert to fraction form
    424.64/633.54 = 380.59/x
  3. Step 3: Cross multiply
    424.64x = 633.54 × 380.59
  4. Step 4: Simplify right side
    424.64x = 241,118.99
  5. Step 5: Solve for x
    x = 241,118.99/424.64
  6. Step 6: Final answer
    x = 567.82

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Why These Related Problems?

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