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Finding the Fourth Proportional to 776.41, 1,165.22 and 468.61

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Solution

The fourth proportional to 776.41, 1,165.22 and 468.61 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.41 : 1,165.22 = 468.61 : x
  2. Step 2: Convert to fraction form
    776.41/1,165.22 = 468.61/x
  3. Step 3: Cross multiply
    776.41x = 1,165.22 × 468.61
  4. Step 4: Simplify right side
    776.41x = 546,030.25
  5. Step 5: Solve for x
    x = 546,030.25/776.41
  6. Step 6: Final answer
    x = 703.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.