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Finding the Fourth Proportional to 956.25, 1,319.63 and 563.54

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Solution

The fourth proportional to 956.25, 1,319.63 and 563.54 is: 777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.25 : 1,319.63 = 563.54 : x
  2. Step 2: Convert to fraction form
    956.25/1,319.63 = 563.54/x
  3. Step 3: Cross multiply
    956.25x = 1,319.63 × 563.54
  4. Step 4: Simplify right side
    956.25x = 743,654.87
  5. Step 5: Solve for x
    x = 743,654.87/956.25
  6. Step 6: Final answer
    x = 777.68

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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.