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Finding the Fourth Proportional to 777.33, 1,164.40 and 411.35

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Solution

The fourth proportional to 777.33, 1,164.40 and 411.35 is: 616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.33 : 1,164.40 = 411.35 : x
  2. Step 2: Convert to fraction form
    777.33/1,164.40 = 411.35/x
  3. Step 3: Cross multiply
    777.33x = 1,164.40 × 411.35
  4. Step 4: Simplify right side
    777.33x = 478,969.09
  5. Step 5: Solve for x
    x = 478,969.09/777.33
  6. Step 6: Final answer
    x = 616.17

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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.