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Finding the Fourth Proportional to 523.83, 788.88 and 477.12

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Solution

The fourth proportional to 523.83, 788.88 and 477.12 is: 718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.83 : 788.88 = 477.12 : x
  2. Step 2: Convert to fraction form
    523.83/788.88 = 477.12/x
  3. Step 3: Cross multiply
    523.83x = 788.88 × 477.12
  4. Step 4: Simplify right side
    523.83x = 376,395.67
  5. Step 5: Solve for x
    x = 376,395.67/523.83
  6. Step 6: Final answer
    x = 718.54

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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.