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Finding the Fourth Proportional to 776.89, 1,071.72 and 511.79

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Solution

The fourth proportional to 776.89, 1,071.72 and 511.79 is: 706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.89 : 1,071.72 = 511.79 : x
  2. Step 2: Convert to fraction form
    776.89/1,071.72 = 511.79/x
  3. Step 3: Cross multiply
    776.89x = 1,071.72 × 511.79
  4. Step 4: Simplify right side
    776.89x = 548,498.26
  5. Step 5: Solve for x
    x = 548,498.26/776.89
  6. Step 6: Final answer
    x = 706.02

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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.