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Finding the Fourth Proportional to 570.24, 851.84 and 483.17

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Solution

The fourth proportional to 570.24, 851.84 and 483.17 is: 721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 851.84 = 483.17 : x
  2. Step 2: Convert to fraction form
    570.24/851.84 = 483.17/x
  3. Step 3: Cross multiply
    570.24x = 851.84 × 483.17
  4. Step 4: Simplify right side
    570.24x = 411,576.86
  5. Step 5: Solve for x
    x = 411,576.86/570.24
  6. Step 6: Final answer
    x = 721.76

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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.