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Finding the Fourth Proportional to 570.81, 857.17 and 541.58

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Solution

The fourth proportional to 570.81, 857.17 and 541.58 is: 813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.81 : 857.17 = 541.58 : x
  2. Step 2: Convert to fraction form
    570.81/857.17 = 541.58/x
  3. Step 3: Cross multiply
    570.81x = 857.17 × 541.58
  4. Step 4: Simplify right side
    570.81x = 464,226.13
  5. Step 5: Solve for x
    x = 464,226.13/570.81
  6. Step 6: Final answer
    x = 813.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.