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Finding the Fourth Proportional to 776.93, 1,072.22 and 590.11

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Solution

The fourth proportional to 776.93, 1,072.22 and 590.11 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.93 : 1,072.22 = 590.11 : x
  2. Step 2: Convert to fraction form
    776.93/1,072.22 = 590.11/x
  3. Step 3: Cross multiply
    776.93x = 1,072.22 × 590.11
  4. Step 4: Simplify right side
    776.93x = 632,722.11
  5. Step 5: Solve for x
    x = 632,722.11/776.93
  6. Step 6: Final answer
    x = 814.39

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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.