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Finding the Fourth Proportional to 523.96, 781.52 and 454.94

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Solution

The fourth proportional to 523.96, 781.52 and 454.94 is: 678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 781.52 = 454.94 : x
  2. Step 2: Convert to fraction form
    523.96/781.52 = 454.94/x
  3. Step 3: Cross multiply
    523.96x = 781.52 × 454.94
  4. Step 4: Simplify right side
    523.96x = 355,544.71
  5. Step 5: Solve for x
    x = 355,544.71/523.96
  6. Step 6: Final answer
    x = 678.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.