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Finding the Fourth Proportional to 571.22, 783.16 and 560.84

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Solution

The fourth proportional to 571.22, 783.16 and 560.84 is: 768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.22 : 783.16 = 560.84 : x
  2. Step 2: Convert to fraction form
    571.22/783.16 = 560.84/x
  3. Step 3: Cross multiply
    571.22x = 783.16 × 560.84
  4. Step 4: Simplify right side
    571.22x = 439,227.45
  5. Step 5: Solve for x
    x = 439,227.45/571.22
  6. Step 6: Final answer
    x = 768.93

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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.