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Finding the Fourth Proportional to 424.08, 633.11 and 378.45

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Solution

The fourth proportional to 424.08, 633.11 and 378.45 is: 564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.08 : 633.11 = 378.45 : x
  2. Step 2: Convert to fraction form
    424.08/633.11 = 378.45/x
  3. Step 3: Cross multiply
    424.08x = 633.11 × 378.45
  4. Step 4: Simplify right side
    424.08x = 239,598.59
  5. Step 5: Solve for x
    x = 239,598.59/424.08
  6. Step 6: Final answer
    x = 564.98

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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.