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Finding the Fourth Proportional to 523.76, 788.68 and 387.77

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Solution

The fourth proportional to 523.76, 788.68 and 387.77 is: 583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.76 : 788.68 = 387.77 : x
  2. Step 2: Convert to fraction form
    523.76/788.68 = 387.77/x
  3. Step 3: Cross multiply
    523.76x = 788.68 × 387.77
  4. Step 4: Simplify right side
    523.76x = 305,821.53
  5. Step 5: Solve for x
    x = 305,821.53/523.76
  6. Step 6: Final answer
    x = 583.90

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Double scale
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1.5x scale

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.