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Finding the Fourth Proportional to 523.67, 786.65 and 454.46

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Solution

The fourth proportional to 523.67, 786.65 and 454.46 is: 682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.67 : 786.65 = 454.46 : x
  2. Step 2: Convert to fraction form
    523.67/786.65 = 454.46/x
  3. Step 3: Cross multiply
    523.67x = 786.65 × 454.46
  4. Step 4: Simplify right side
    523.67x = 357,494.75
  5. Step 5: Solve for x
    x = 357,494.75/523.67
  6. Step 6: Final answer
    x = 682.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.