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Finding the Fourth Proportional to 776.32, 1,064.08 and 765.52

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Solution

The fourth proportional to 776.32, 1,064.08 and 765.52 is: 1,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,064.08 = 765.52 : x
  2. Step 2: Convert to fraction form
    776.32/1,064.08 = 765.52/x
  3. Step 3: Cross multiply
    776.32x = 1,064.08 × 765.52
  4. Step 4: Simplify right side
    776.32x = 814,574.52
  5. Step 5: Solve for x
    x = 814,574.52/776.32
  6. Step 6: Final answer
    x = 1,049.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.