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Finding the Fourth Proportional to 523.50, 788.30 and 387.51

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Solution

The fourth proportional to 523.50, 788.30 and 387.51 is: 583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 788.30 = 387.51 : x
  2. Step 2: Convert to fraction form
    523.50/788.30 = 387.51/x
  3. Step 3: Cross multiply
    523.50x = 788.30 × 387.51
  4. Step 4: Simplify right side
    523.50x = 305,474.13
  5. Step 5: Solve for x
    x = 305,474.13/523.50
  6. Step 6: Final answer
    x = 583.52

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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.