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Finding the Fourth Proportional to 645.12, 962.88 and 563.04

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Solution

The fourth proportional to 645.12, 962.88 and 563.04 is: 840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.12 : 962.88 = 563.04 : x
  2. Step 2: Convert to fraction form
    645.12/962.88 = 563.04/x
  3. Step 3: Cross multiply
    645.12x = 962.88 × 563.04
  4. Step 4: Simplify right side
    645.12x = 542,139.96
  5. Step 5: Solve for x
    x = 542,139.96/645.12
  6. Step 6: Final answer
    x = 840.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.