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Finding the Fourth Proportional to 777.54, 1,165.89 and 484.32

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Solution

The fourth proportional to 777.54, 1,165.89 and 484.32 is: 726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.54 : 1,165.89 = 484.32 : x
  2. Step 2: Convert to fraction form
    777.54/1,165.89 = 484.32/x
  3. Step 3: Cross multiply
    777.54x = 1,165.89 × 484.32
  4. Step 4: Simplify right side
    777.54x = 564,663.84
  5. Step 5: Solve for x
    x = 564,663.84/777.54
  6. Step 6: Final answer
    x = 726.22

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