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Finding the Fourth Proportional to 570.82, 851.86 and 509.31

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Solution

The fourth proportional to 570.82, 851.86 and 509.31 is: 760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.82 : 851.86 = 509.31 : x
  2. Step 2: Convert to fraction form
    570.82/851.86 = 509.31/x
  3. Step 3: Cross multiply
    570.82x = 851.86 × 509.31
  4. Step 4: Simplify right side
    570.82x = 433,855.28
  5. Step 5: Solve for x
    x = 433,855.28/570.82
  6. Step 6: Final answer
    x = 760.06

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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.