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Finding the Fourth Proportional to 523.87, 720.77 and 511.58

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Solution

The fourth proportional to 523.87, 720.77 and 511.58 is: 703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 720.77 = 511.58 : x
  2. Step 2: Convert to fraction form
    523.87/720.77 = 511.58/x
  3. Step 3: Cross multiply
    523.87x = 720.77 × 511.58
  4. Step 4: Simplify right side
    523.87x = 368,730.76
  5. Step 5: Solve for x
    x = 368,730.76/523.87
  6. Step 6: Final answer
    x = 703.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.