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Finding the Fourth Proportional to 632.97, 873.63 and 384.30

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Solution

The fourth proportional to 632.97, 873.63 and 384.30 is: 530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.97 : 873.63 = 384.30 : x
  2. Step 2: Convert to fraction form
    632.97/873.63 = 384.30/x
  3. Step 3: Cross multiply
    632.97x = 873.63 × 384.30
  4. Step 4: Simplify right side
    632.97x = 335,736.01
  5. Step 5: Solve for x
    x = 335,736.01/632.97
  6. Step 6: Final answer
    x = 530.41

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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.