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Finding the Fourth Proportional to 763.63, 1,054.11 and 577.16

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Solution

The fourth proportional to 763.63, 1,054.11 and 577.16 is: 796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.63 : 1,054.11 = 577.16 : x
  2. Step 2: Convert to fraction form
    763.63/1,054.11 = 577.16/x
  3. Step 3: Cross multiply
    763.63x = 1,054.11 × 577.16
  4. Step 4: Simplify right side
    763.63x = 608,390.97
  5. Step 5: Solve for x
    x = 608,390.97/763.63
  6. Step 6: Final answer
    x = 796.71

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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.