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Finding the Fourth Proportional to 777.06, 1,164.83 and 503.28

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Solution

The fourth proportional to 777.06, 1,164.83 and 503.28 is: 754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.06 : 1,164.83 = 503.28 : x
  2. Step 2: Convert to fraction form
    777.06/1,164.83 = 503.28/x
  3. Step 3: Cross multiply
    777.06x = 1,164.83 × 503.28
  4. Step 4: Simplify right side
    777.06x = 586,233.13
  5. Step 5: Solve for x
    x = 586,233.13/777.06
  6. Step 6: Final answer
    x = 754.42

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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.