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Finding the Fourth Proportional to 777.36, 1,166.28 and 392.48

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Solution

The fourth proportional to 777.36, 1,166.28 and 392.48 is: 588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.36 : 1,166.28 = 392.48 : x
  2. Step 2: Convert to fraction form
    777.36/1,166.28 = 392.48/x
  3. Step 3: Cross multiply
    777.36x = 1,166.28 × 392.48
  4. Step 4: Simplify right side
    777.36x = 457,741.57
  5. Step 5: Solve for x
    x = 457,741.57/777.36
  6. Step 6: Final answer
    x = 588.84

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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.