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Finding the Fourth Proportional to 400.68, 602.46 and 384.84

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Solution

The fourth proportional to 400.68, 602.46 and 384.84 is: 578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.68 : 602.46 = 384.84 : x
  2. Step 2: Convert to fraction form
    400.68/602.46 = 384.84/x
  3. Step 3: Cross multiply
    400.68x = 602.46 × 384.84
  4. Step 4: Simplify right side
    400.68x = 231,850.71
  5. Step 5: Solve for x
    x = 231,850.71/400.68
  6. Step 6: Final answer
    x = 578.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.