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Finding the Fourth Proportional to 570.70, 786.27 and 491.86

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Solution

The fourth proportional to 570.70, 786.27 and 491.86 is: 677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.70 : 786.27 = 491.86 : x
  2. Step 2: Convert to fraction form
    570.70/786.27 = 491.86/x
  3. Step 3: Cross multiply
    570.70x = 786.27 × 491.86
  4. Step 4: Simplify right side
    570.70x = 386,734.76
  5. Step 5: Solve for x
    x = 386,734.76/570.70
  6. Step 6: Final answer
    x = 677.65

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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.