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Finding the Fourth Proportional to 572.81, 788.94 and 440.17

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Solution

The fourth proportional to 572.81, 788.94 and 440.17 is: 606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.81 : 788.94 = 440.17 : x
  2. Step 2: Convert to fraction form
    572.81/788.94 = 440.17/x
  3. Step 3: Cross multiply
    572.81x = 788.94 × 440.17
  4. Step 4: Simplify right side
    572.81x = 347,265.75
  5. Step 5: Solve for x
    x = 347,265.75/572.81
  6. Step 6: Final answer
    x = 606.25

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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.