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Finding the Fourth Proportional to 717, 1,070.64 and 569.09

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Solution

The fourth proportional to 717, 1,070.64 and 569.09 is: 849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    717 : 1,070.64 = 569.09 : x
  2. Step 2: Convert to fraction form
    717/1,070.64 = 569.09/x
  3. Step 3: Cross multiply
    717x = 1,070.64 × 569.09
  4. Step 4: Simplify right side
    717x = 609,290.52
  5. Step 5: Solve for x
    x = 609,290.52/717
  6. Step 6: Final answer
    x = 849.78

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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.