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Finding the Fourth Proportional to 523.60, 788.50 and 455.94

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Solution

The fourth proportional to 523.60, 788.50 and 455.94 is: 686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 788.50 = 455.94 : x
  2. Step 2: Convert to fraction form
    523.60/788.50 = 455.94/x
  3. Step 3: Cross multiply
    523.60x = 788.50 × 455.94
  4. Step 4: Simplify right side
    523.60x = 359,508.69
  5. Step 5: Solve for x
    x = 359,508.69/523.60
  6. Step 6: Final answer
    x = 686.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.