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Finding the Fourth Proportional to 632.88, 873.60 and 384.40

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Solution

The fourth proportional to 632.88, 873.60 and 384.40 is: 530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.88 : 873.60 = 384.40 : x
  2. Step 2: Convert to fraction form
    632.88/873.60 = 384.40/x
  3. Step 3: Cross multiply
    632.88x = 873.60 × 384.40
  4. Step 4: Simplify right side
    632.88x = 335,811.84
  5. Step 5: Solve for x
    x = 335,811.84/632.88
  6. Step 6: Final answer
    x = 530.61

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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.