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Finding the Fourth Proportional to 741.02, 1,022.46 and 563.93

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Solution

The fourth proportional to 741.02, 1,022.46 and 563.93 is: 778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.02 : 1,022.46 = 563.93 : x
  2. Step 2: Convert to fraction form
    741.02/1,022.46 = 563.93/x
  3. Step 3: Cross multiply
    741.02x = 1,022.46 × 563.93
  4. Step 4: Simplify right side
    741.02x = 576,595.87
  5. Step 5: Solve for x
    x = 576,595.87/741.02
  6. Step 6: Final answer
    x = 778.11

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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.