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Finding the Fourth Proportional to 569.56, 786.94 and 495.88

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Solution

The fourth proportional to 569.56, 786.94 and 495.88 is: 685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.56 : 786.94 = 495.88 : x
  2. Step 2: Convert to fraction form
    569.56/786.94 = 495.88/x
  3. Step 3: Cross multiply
    569.56x = 786.94 × 495.88
  4. Step 4: Simplify right side
    569.56x = 390,227.81
  5. Step 5: Solve for x
    x = 390,227.81/569.56
  6. Step 6: Final answer
    x = 685.14

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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.