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Finding the Fourth Proportional to 570.52, 784.28 and 566.92

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Solution

The fourth proportional to 570.52, 784.28 and 566.92 is: 779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.52 : 784.28 = 566.92 : x
  2. Step 2: Convert to fraction form
    570.52/784.28 = 566.92/x
  3. Step 3: Cross multiply
    570.52x = 784.28 × 566.92
  4. Step 4: Simplify right side
    570.52x = 444,624.02
  5. Step 5: Solve for x
    x = 444,624.02/570.52
  6. Step 6: Final answer
    x = 779.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.