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Finding the Fourth Proportional to 569.10, 798.90 and 569.10

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Solution

The fourth proportional to 569.10, 798.90 and 569.10 is: 798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.10 : 798.90 = 569.10 : x
  2. Step 2: Convert to fraction form
    569.10/798.90 = 569.10/x
  3. Step 3: Cross multiply
    569.10x = 798.90 × 569.10
  4. Step 4: Simplify right side
    569.10x = 454,653.99
  5. Step 5: Solve for x
    x = 454,653.99/569.10
  6. Step 6: Final answer
    x = 798.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.