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Finding the Fourth Proportional to 570.24, 849.87 and 565.47

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Solution

The fourth proportional to 570.24, 849.87 and 565.47 is: 842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 849.87 = 565.47 : x
  2. Step 2: Convert to fraction form
    570.24/849.87 = 565.47/x
  3. Step 3: Cross multiply
    570.24x = 849.87 × 565.47
  4. Step 4: Simplify right side
    570.24x = 480,575.99
  5. Step 5: Solve for x
    x = 480,575.99/570.24
  6. Step 6: Final answer
    x = 842.76

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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.