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Finding the Fourth Proportional to 433.01, 648.68 and 384.53

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Solution

The fourth proportional to 433.01, 648.68 and 384.53 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.01 : 648.68 = 384.53 : x
  2. Step 2: Convert to fraction form
    433.01/648.68 = 384.53/x
  3. Step 3: Cross multiply
    433.01x = 648.68 × 384.53
  4. Step 4: Simplify right side
    433.01x = 249,435.00
  5. Step 5: Solve for x
    x = 249,435.00/433.01
  6. Step 6: Final answer
    x = 576.05

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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.