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Finding the Fourth Proportional to 523.58, 789.04 and 471.58

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Solution

The fourth proportional to 523.58, 789.04 and 471.58 is: 710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.58 : 789.04 = 471.58 : x
  2. Step 2: Convert to fraction form
    523.58/789.04 = 471.58/x
  3. Step 3: Cross multiply
    523.58x = 789.04 × 471.58
  4. Step 4: Simplify right side
    523.58x = 372,097.25
  5. Step 5: Solve for x
    x = 372,097.25/523.58
  6. Step 6: Final answer
    x = 710.69

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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.