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Finding the Fourth Proportional to 570.84, 850.44 and 543.30

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Solution

The fourth proportional to 570.84, 850.44 and 543.30 is: 809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 850.44 = 543.30 : x
  2. Step 2: Convert to fraction form
    570.84/850.44 = 543.30/x
  3. Step 3: Cross multiply
    570.84x = 850.44 × 543.30
  4. Step 4: Simplify right side
    570.84x = 462,044.05
  5. Step 5: Solve for x
    x = 462,044.05/570.84
  6. Step 6: Final answer
    x = 809.41

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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.