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Finding the Fourth Proportional to 777.75, 1,073.32 and 446.24

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Solution

The fourth proportional to 777.75, 1,073.32 and 446.24 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.75 : 1,073.32 = 446.24 : x
  2. Step 2: Convert to fraction form
    777.75/1,073.32 = 446.24/x
  3. Step 3: Cross multiply
    777.75x = 1,073.32 × 446.24
  4. Step 4: Simplify right side
    777.75x = 478,955.02
  5. Step 5: Solve for x
    x = 478,955.02/777.75
  6. Step 6: Final answer
    x = 615.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.