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Finding the Fourth Proportional to 777.24, 1,164.46 and 411.20

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Solution

The fourth proportional to 777.24, 1,164.46 and 411.20 is: 616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.24 : 1,164.46 = 411.20 : x
  2. Step 2: Convert to fraction form
    777.24/1,164.46 = 411.20/x
  3. Step 3: Cross multiply
    777.24x = 1,164.46 × 411.20
  4. Step 4: Simplify right side
    777.24x = 478,825.95
  5. Step 5: Solve for x
    x = 478,825.95/777.24
  6. Step 6: Final answer
    x = 616.06

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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.