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Finding the Fourth Proportional to 424.86, 633.84 and 405.30

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Solution

The fourth proportional to 424.86, 633.84 and 405.30 is: 604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.86 : 633.84 = 405.30 : x
  2. Step 2: Convert to fraction form
    424.86/633.84 = 405.30/x
  3. Step 3: Cross multiply
    424.86x = 633.84 × 405.30
  4. Step 4: Simplify right side
    424.86x = 256,895.35
  5. Step 5: Solve for x
    x = 256,895.35/424.86
  6. Step 6: Final answer
    x = 604.66

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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.