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Finding the Fourth Proportional to 763.83, 1,054.79 and 722.91

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Solution

The fourth proportional to 763.83, 1,054.79 and 722.91 is: 998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.83 : 1,054.79 = 722.91 : x
  2. Step 2: Convert to fraction form
    763.83/1,054.79 = 722.91/x
  3. Step 3: Cross multiply
    763.83x = 1,054.79 × 722.91
  4. Step 4: Simplify right side
    763.83x = 762,514.62
  5. Step 5: Solve for x
    x = 762,514.62/763.83
  6. Step 6: Final answer
    x = 998.28

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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.