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Finding the Fourth Proportional to 568.64, 847.18 and 543.80

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Solution

The fourth proportional to 568.64, 847.18 and 543.80 is: 810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.64 : 847.18 = 543.80 : x
  2. Step 2: Convert to fraction form
    568.64/847.18 = 543.80/x
  3. Step 3: Cross multiply
    568.64x = 847.18 × 543.80
  4. Step 4: Simplify right side
    568.64x = 460,696.48
  5. Step 5: Solve for x
    x = 460,696.48/568.64
  6. Step 6: Final answer
    x = 810.17

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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.