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Finding the Fourth Proportional to 571.30, 788.93 and 540.62

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Solution

The fourth proportional to 571.30, 788.93 and 540.62 is: 746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.30 : 788.93 = 540.62 : x
  2. Step 2: Convert to fraction form
    571.30/788.93 = 540.62/x
  3. Step 3: Cross multiply
    571.30x = 788.93 × 540.62
  4. Step 4: Simplify right side
    571.30x = 426,511.34
  5. Step 5: Solve for x
    x = 426,511.34/571.30
  6. Step 6: Final answer
    x = 746.56

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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.