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Finding the Fourth Proportional to 523.48, 784.56 and 458.32

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Solution

The fourth proportional to 523.48, 784.56 and 458.32 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 784.56 = 458.32 : x
  2. Step 2: Convert to fraction form
    523.48/784.56 = 458.32/x
  3. Step 3: Cross multiply
    523.48x = 784.56 × 458.32
  4. Step 4: Simplify right side
    523.48x = 359,579.54
  5. Step 5: Solve for x
    x = 359,579.54/523.48
  6. Step 6: Final answer
    x = 686.90

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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.