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Finding the Fourth Proportional to 645.84, 963.78 and 542.16

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Solution

The fourth proportional to 645.84, 963.78 and 542.16 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 963.78 = 542.16 : x
  2. Step 2: Convert to fraction form
    645.84/963.78 = 542.16/x
  3. Step 3: Cross multiply
    645.84x = 963.78 × 542.16
  4. Step 4: Simplify right side
    645.84x = 522,522.96
  5. Step 5: Solve for x
    x = 522,522.96/645.84
  6. Step 6: Final answer
    x = 809.06

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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.