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Finding the Fourth Proportional to 864.29, 1,291.08 and 777.48

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Solution

The fourth proportional to 864.29, 1,291.08 and 777.48 is: 1,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.29 : 1,291.08 = 777.48 : x
  2. Step 2: Convert to fraction form
    864.29/1,291.08 = 777.48/x
  3. Step 3: Cross multiply
    864.29x = 1,291.08 × 777.48
  4. Step 4: Simplify right side
    864.29x = 1,003,788.88
  5. Step 5: Solve for x
    x = 1,003,788.88/864.29
  6. Step 6: Final answer
    x = 1,161.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.