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Finding the Fourth Proportional to 569.23, 780.41 and 558.85

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Solution

The fourth proportional to 569.23, 780.41 and 558.85 is: 766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.23 : 780.41 = 558.85 : x
  2. Step 2: Convert to fraction form
    569.23/780.41 = 558.85/x
  3. Step 3: Cross multiply
    569.23x = 780.41 × 558.85
  4. Step 4: Simplify right side
    569.23x = 436,133.82
  5. Step 5: Solve for x
    x = 436,133.82/569.23
  6. Step 6: Final answer
    x = 766.19

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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.