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Finding the Fourth Proportional to 645.12, 890.64 and 480.24

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Solution

The fourth proportional to 645.12, 890.64 and 480.24 is: 663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.12 : 890.64 = 480.24 : x
  2. Step 2: Convert to fraction form
    645.12/890.64 = 480.24/x
  3. Step 3: Cross multiply
    645.12x = 890.64 × 480.24
  4. Step 4: Simplify right side
    645.12x = 427,720.95
  5. Step 5: Solve for x
    x = 427,720.95/645.12
  6. Step 6: Final answer
    x = 663.01

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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.