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Finding the Fourth Proportional to 633.02, 873.24 and 384.20

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Solution

The fourth proportional to 633.02, 873.24 and 384.20 is: 530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.02 : 873.24 = 384.20 : x
  2. Step 2: Convert to fraction form
    633.02/873.24 = 384.20/x
  3. Step 3: Cross multiply
    633.02x = 873.24 × 384.20
  4. Step 4: Simplify right side
    633.02x = 335,498.81
  5. Step 5: Solve for x
    x = 335,498.81/633.02
  6. Step 6: Final answer
    x = 530.00

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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.