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Finding the Fourth Proportional to 645.81, 972.62 and 543.75

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Solution

The fourth proportional to 645.81, 972.62 and 543.75 is: 818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.81 : 972.62 = 543.75 : x
  2. Step 2: Convert to fraction form
    645.81/972.62 = 543.75/x
  3. Step 3: Cross multiply
    645.81x = 972.62 × 543.75
  4. Step 4: Simplify right side
    645.81x = 528,859.41
  5. Step 5: Solve for x
    x = 528,859.41/645.81
  6. Step 6: Final answer
    x = 818.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.