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Finding the Fourth Proportional to 829.99, 1,242.69 and 569.44

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Solution

The fourth proportional to 829.99, 1,242.69 and 569.44 is: 852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.99 : 1,242.69 = 569.44 : x
  2. Step 2: Convert to fraction form
    829.99/1,242.69 = 569.44/x
  3. Step 3: Cross multiply
    829.99x = 1,242.69 × 569.44
  4. Step 4: Simplify right side
    829.99x = 707,637.39
  5. Step 5: Solve for x
    x = 707,637.39/829.99
  6. Step 6: Final answer
    x = 852.59

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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.