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Finding the Fourth Proportional to 789.01, 1,088.99 and 523.47

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Solution

The fourth proportional to 789.01, 1,088.99 and 523.47 is: 722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.01 : 1,088.99 = 523.47 : x
  2. Step 2: Convert to fraction form
    789.01/1,088.99 = 523.47/x
  3. Step 3: Cross multiply
    789.01x = 1,088.99 × 523.47
  4. Step 4: Simplify right side
    789.01x = 570,053.60
  5. Step 5: Solve for x
    x = 570,053.60/789.01
  6. Step 6: Final answer
    x = 722.49

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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.