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Finding the Fourth Proportional to 568.65, 783.77 and 561.09

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Solution

The fourth proportional to 568.65, 783.77 and 561.09 is: 773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.65 : 783.77 = 561.09 : x
  2. Step 2: Convert to fraction form
    568.65/783.77 = 561.09/x
  3. Step 3: Cross multiply
    568.65x = 783.77 × 561.09
  4. Step 4: Simplify right side
    568.65x = 439,762.70
  5. Step 5: Solve for x
    x = 439,762.70/568.65
  6. Step 6: Final answer
    x = 773.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.