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Finding the Fourth Proportional to 570.47, 786.78 and 492.71

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Solution

The fourth proportional to 570.47, 786.78 and 492.71 is: 679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.47 : 786.78 = 492.71 : x
  2. Step 2: Convert to fraction form
    570.47/786.78 = 492.71/x
  3. Step 3: Cross multiply
    570.47x = 786.78 × 492.71
  4. Step 4: Simplify right side
    570.47x = 387,650.44
  5. Step 5: Solve for x
    x = 387,650.44/570.47
  6. Step 6: Final answer
    x = 679.53

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